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Finding the Fourth Proportional to 24,381.16, 36,560.20 and 11,229.64

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Solution

The fourth proportional to 24,381.16, 36,560.20 and 11,229.64 is: 16,839.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,381.16 : 36,560.20 = 11,229.64 : x
  2. Step 2: Convert to fraction form
    24,381.16/36,560.20 = 11,229.64/x
  3. Step 3: Cross multiply
    24,381.16x = 36,560.20 × 11,229.64
  4. Step 4: Simplify right side
    24,381.16x = 410,557,884.33
  5. Step 5: Solve for x
    x = 410,557,884.33/24,381.16
  6. Step 6: Final answer
    x = 16,839.14

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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.