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Finding the Fourth Proportional to 24,869.20, 34,319.40 and 13,691.20

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Solution

The fourth proportional to 24,869.20, 34,319.40 and 13,691.20 is: 18,893.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,869.20 : 34,319.40 = 13,691.20 : x
  2. Step 2: Convert to fraction form
    24,869.20/34,319.40 = 13,691.20/x
  3. Step 3: Cross multiply
    24,869.20x = 34,319.40 × 13,691.20
  4. Step 4: Simplify right side
    24,869.20x = 469,873,769.28
  5. Step 5: Solve for x
    x = 469,873,769.28/24,869.20
  6. Step 6: Final answer
    x = 18,893.80

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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.