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Finding the Fourth Proportional to 24,343.72, 36,517.74 and 9,553.12

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Solution

The fourth proportional to 24,343.72, 36,517.74 and 9,553.12 is: 14,330.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,343.72 : 36,517.74 = 9,553.12 : x
  2. Step 2: Convert to fraction form
    24,343.72/36,517.74 = 9,553.12/x
  3. Step 3: Cross multiply
    24,343.72x = 36,517.74 × 9,553.12
  4. Step 4: Simplify right side
    24,343.72x = 348,858,352.35
  5. Step 5: Solve for x
    x = 348,858,352.35/24,343.72
  6. Step 6: Final answer
    x = 14,330.53

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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.