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Finding the Fourth Proportional to 21,101.38, 29,123.79 and 13,557.14

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Solution

The fourth proportional to 21,101.38, 29,123.79 and 13,557.14 is: 18,711.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,101.38 : 29,123.79 = 13,557.14 : x
  2. Step 2: Convert to fraction form
    21,101.38/29,123.79 = 13,557.14/x
  3. Step 3: Cross multiply
    21,101.38x = 29,123.79 × 13,557.14
  4. Step 4: Simplify right side
    21,101.38x = 394,835,152.74
  5. Step 5: Solve for x
    x = 394,835,152.74/21,101.38
  6. Step 6: Final answer
    x = 18,711.35

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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.