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Finding the Fourth Proportional to 24,511.60, 36,767.32 and 9,723.92

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Solution

The fourth proportional to 24,511.60, 36,767.32 and 9,723.92 is: 14,585.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,511.60 : 36,767.32 = 9,723.92 : x
  2. Step 2: Convert to fraction form
    24,511.60/36,767.32 = 9,723.92/x
  3. Step 3: Cross multiply
    24,511.60x = 36,767.32 × 9,723.92
  4. Step 4: Simplify right side
    24,511.60x = 357,522,478.29
  5. Step 5: Solve for x
    x = 357,522,478.29/24,511.60
  6. Step 6: Final answer
    x = 14,585.85

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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.