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Finding the Fourth Proportional to 27,197.92, 40,785.96 and 8,471.80

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Solution

The fourth proportional to 27,197.92, 40,785.96 and 8,471.80 is: 12,704.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,197.92 : 40,785.96 = 8,471.80 : x
  2. Step 2: Convert to fraction form
    27,197.92/40,785.96 = 8,471.80/x
  3. Step 3: Cross multiply
    27,197.92x = 40,785.96 × 8,471.80
  4. Step 4: Simplify right side
    27,197.92x = 345,530,495.93
  5. Step 5: Solve for x
    x = 345,530,495.93/27,197.92
  6. Step 6: Final answer
    x = 12,704.30

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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.