Final answer:
The World Trade Organization (WTO) maintains an orderly system of world trade and exchange rates.
Step-by-step explanation:
The organization that maintains an orderly system of world trade and exchange rates is the World Trade Organization (WTO). The WTO establishes rules governing international trade and provides a venue for trade negotiations between countries. It was officially born in 1995, but its history dates back to the years after the Great Depression and World War II when there was a worldwide push to build institutions that would tie the nations of the world together.