WASHINGTON—Britain’s WPP has agreed to pay more than $19 million in a settlement with U.S. authorities relating to bribery allegations and accounting controls for its subsidiaries, including in India and China. The world’s largest advertising firm did not admit or deny allegations that it violated provisions of the Foreign Corrupt Practices Act but agreed to pay the penalty, the U.S. Securities and Exchange Commission said. The SEC order found that WPP failed to ensure that subsidiaries it acquired implemented its internal accounting controls and compliance policies. WPP implemented an aggressive business growth strategy that included acquiring majority interests in many localized advertising agencies in high-risk markets, it said, citing potential conflicts in India, China, Brazil and Peru during a period between 2013 and 2018. WPP said it had changed its business practices since then. “As the Commission’s Order recognises, WPP’s new leadership has put in place robust new compliance measures …