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Finding the Fourth Proportional to 21,414.38, 29,551.87 and 11,854.92

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Solution

The fourth proportional to 21,414.38, 29,551.87 and 11,854.92 is: 16,359.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,414.38 : 29,551.87 = 11,854.92 : x
  2. Step 2: Convert to fraction form
    21,414.38/29,551.87 = 11,854.92/x
  3. Step 3: Cross multiply
    21,414.38x = 29,551.87 × 11,854.92
  4. Step 4: Simplify right side
    21,414.38x = 350,335,180.34
  5. Step 5: Solve for x
    x = 350,335,180.34/21,414.38
  6. Step 6: Final answer
    x = 16,359.81

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Why These Related Problems?

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