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Finding the Fourth Proportional to 24,265.25, 36,406.64 and 8,472.61

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Solution

The fourth proportional to 24,265.25, 36,406.64 and 8,472.61 is: 12,711.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,265.25 : 36,406.64 = 8,472.61 : x
  2. Step 2: Convert to fraction form
    24,265.25/36,406.64 = 8,472.61/x
  3. Step 3: Cross multiply
    24,265.25x = 36,406.64 × 8,472.61
  4. Step 4: Simplify right side
    24,265.25x = 308,459,297.05
  5. Step 5: Solve for x
    x = 308,459,297.05/24,265.25
  6. Step 6: Final answer
    x = 12,711.97

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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.