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Finding the Fourth Proportional to 24,861.57, 37,286.94 and 8,217.66

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Solution

The fourth proportional to 24,861.57, 37,286.94 and 8,217.66 is: 12,324.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,861.57 : 37,286.94 = 8,217.66 : x
  2. Step 2: Convert to fraction form
    24,861.57/37,286.94 = 8,217.66/x
  3. Step 3: Cross multiply
    24,861.57x = 37,286.94 × 8,217.66
  4. Step 4: Simplify right side
    24,861.57x = 306,411,395.36
  5. Step 5: Solve for x
    x = 306,411,395.36/24,861.57
  6. Step 6: Final answer
    x = 12,324.70

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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.