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Finding the Fourth Proportional to 24,744.60, 34,147.58 and 13,414.16

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Solution

The fourth proportional to 24,744.60, 34,147.58 and 13,414.16 is: 18,511.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,744.60 : 34,147.58 = 13,414.16 : x
  2. Step 2: Convert to fraction form
    24,744.60/34,147.58 = 13,414.16/x
  3. Step 3: Cross multiply
    24,744.60x = 34,147.58 × 13,414.16
  4. Step 4: Simplify right side
    24,744.60x = 458,061,101.73
  5. Step 5: Solve for x
    x = 458,061,101.73/24,744.60
  6. Step 6: Final answer
    x = 18,511.56

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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.