We've discussed this in depth before, and there are a few guys on here that have worked on this more than I have, but my wife and I have been doing preliminary research for a couple of years for a non-profit we're considering starting in the future - one that works to systemically address poverty via education. The problem is that when you start looking at why kids from poverty stricken neighborhoods generally perform poorly in school, every step you start investigating points to an earlier deficiency.
I applaud you for educating your self and working your way out of poverty, but I suspect you have something things going for you that, from our research, many of these kids do not. Things like basic genetics (intelligence), prenatal care, parents who were interested in helping you with your education or understood its value, etc. There are many other factors, and you might have had few that I've listed, but overall, our research seems to indicate those who climb out of poverty have a few checkmarks on the list of potential things (all of which are beyond their control) that empower them to do so.
Without getting too deep into it, the reality is I had to work hard to get where I am, but I'm relatively intelligent, came from a stable household consisting of two loving parents who understand the value of education, who molded my life with their world view of character, hard work, morality. It was up to me to succeed or fail, but I had a HUGE leg up on a black kid who doesn't know his dad, lives in the projects to a single mom on welfare who has five other kids with five other men and has a sixth grade education. I had a huge leg up this kid as his mom probably didn't take good pre-natal care of him, or even understand how, didn't understand proper nutrition for the developing brain in the first five or six years of his life, and who (along with is father) gave him an overall IQ of 80.
I have to admit, after a couple of years researching this, my wife and I hit the wall. It's so depressing, the problem is SO MUCH bigger than how badly the kid wants to succeed - most of the time they have no idea what success is and even if they did, have no model of what the daily habits of someone who climbs out of poverty look like. Combine that with genetics, poor nutrition, and backwards culture, and you find that this problem is incredibly complex.
I'm truly happy you climbed out of it. I went through period of poverty myself, but was equipped to claw out if. Most of the people we see in these news stories of black on black crime never had any of the blessings we enjoy and take for granted. Unless or until we start understanding that, we can never help them learn what's possible.