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Finding the Fourth Proportional to 20,413.71, 28,172.98 and 11,460.68

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Solution

The fourth proportional to 20,413.71, 28,172.98 and 11,460.68 is: 15,816.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,413.71 : 28,172.98 = 11,460.68 : x
  2. Step 2: Convert to fraction form
    20,413.71/28,172.98 = 11,460.68/x
  3. Step 3: Cross multiply
    20,413.71x = 28,172.98 × 11,460.68
  4. Step 4: Simplify right side
    20,413.71x = 322,881,508.43
  5. Step 5: Solve for x
    x = 322,881,508.43/20,413.71
  6. Step 6: Final answer
    x = 15,816.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.