(d) (10 points) Consider the following data for real GDP per capita (in PPP-adjusted 2011 constant dollars) for selected countries, and the implied average annual growth from 1960 to 2014. Real GDP per capita Implied average Country 1960 2014 annual growth United States $17,600,11 $52,292.28 2.04% Mexico $5.741.75 $15,852.57 1.90% China $1,154.19 $12,472.51 4.51% Rwanda $962.58 $1,565.14 0.90% If Mexico, China, and Rwanda continue to grow at the rates in the table, how many years, starting from 2014, will it take each to catch up to the Unites States in terms of PPP-adjusted per capita GDP as of 2014