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Finding the Fourth Proportional to 21,161.96, 31,866.62 and 15,654.16

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Solution

The fourth proportional to 21,161.96, 31,866.62 and 15,654.16 is: 23,572.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,161.96 : 31,866.62 = 15,654.16 : x
  2. Step 2: Convert to fraction form
    21,161.96/31,866.62 = 15,654.16/x
  3. Step 3: Cross multiply
    21,161.96x = 31,866.62 × 15,654.16
  4. Step 4: Simplify right side
    21,161.96x = 498,845,129.70
  5. Step 5: Solve for x
    x = 498,845,129.70/21,161.96
  6. Step 6: Final answer
    x = 23,572.73

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.