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Finding the Fourth Proportional to 24,414.14, 36,596.52 and 9,617.30

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Solution

The fourth proportional to 24,414.14, 36,596.52 and 9,617.30 is: 14,416.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,414.14 : 36,596.52 = 9,617.30 : x
  2. Step 2: Convert to fraction form
    24,414.14/36,596.52 = 9,617.30/x
  3. Step 3: Cross multiply
    24,414.14x = 36,596.52 × 9,617.30
  4. Step 4: Simplify right side
    24,414.14x = 351,959,711.80
  5. Step 5: Solve for x
    x = 351,959,711.80/24,414.14
  6. Step 6: Final answer
    x = 14,416.22

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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.