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Finding the Fourth Proportional to 24,306.60, 36,431.10 and 10,266.60

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Solution

The fourth proportional to 24,306.60, 36,431.10 and 10,266.60 is: 15,387.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,306.60 : 36,431.10 = 10,266.60 : x
  2. Step 2: Convert to fraction form
    24,306.60/36,431.10 = 10,266.60/x
  3. Step 3: Cross multiply
    24,306.60x = 36,431.10 × 10,266.60
  4. Step 4: Simplify right side
    24,306.60x = 374,023,531.26
  5. Step 5: Solve for x
    x = 374,023,531.26/24,306.60
  6. Step 6: Final answer
    x = 15,387.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.