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Finding the Fourth Proportional to 24,147.48, 36,221.24 and 6,617.44

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Solution

The fourth proportional to 24,147.48, 36,221.24 and 6,617.44 is: 9,926.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,147.48 : 36,221.24 = 6,617.44 : x
  2. Step 2: Convert to fraction form
    24,147.48/36,221.24 = 6,617.44/x
  3. Step 3: Cross multiply
    24,147.48x = 36,221.24 × 6,617.44
  4. Step 4: Simplify right side
    24,147.48x = 239,691,882.43
  5. Step 5: Solve for x
    x = 239,691,882.43/24,147.48
  6. Step 6: Final answer
    x = 9,926.17

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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.