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Finding the Fourth Proportional to 24,892.38, 34,351.88 and 13,562.42

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Solution

The fourth proportional to 24,892.38, 34,351.88 and 13,562.42 is: 18,716.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,892.38 : 34,351.88 = 13,562.42 : x
  2. Step 2: Convert to fraction form
    24,892.38/34,351.88 = 13,562.42/x
  3. Step 3: Cross multiply
    24,892.38x = 34,351.88 × 13,562.42
  4. Step 4: Simplify right side
    24,892.38x = 465,894,452.59
  5. Step 5: Solve for x
    x = 465,894,452.59/24,892.38
  6. Step 6: Final answer
    x = 18,716.35

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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.