Black taxis will become extinct in London within 20 years if cabbies continue to leave the trade at the current rates, a report has revealed.The report, by the Centre for London thinktank, warned that an iconic part of the capital’s transport system could be lost by 2045.There are currently 14,470 licensed taxis in London, down more than 8,000 on the 22,810 in 2013/14, a fall of more than a third.