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Finding the Fourth Proportional to 21,206.68, 29,265.56 and 11,516.13

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Solution

The fourth proportional to 21,206.68, 29,265.56 and 11,516.13 is: 15,892.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,206.68 : 29,265.56 = 11,516.13 : x
  2. Step 2: Convert to fraction form
    21,206.68/29,265.56 = 11,516.13/x
  3. Step 3: Cross multiply
    21,206.68x = 29,265.56 × 11,516.13
  4. Step 4: Simplify right side
    21,206.68x = 337,025,989.54
  5. Step 5: Solve for x
    x = 337,025,989.54/21,206.68
  6. Step 6: Final answer
    x = 15,892.45

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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.