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Finding the Fourth Proportional to 20,757.28, 31,134.84 and 8,276.80

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Solution

The fourth proportional to 20,757.28, 31,134.84 and 8,276.80 is: 12,414.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,757.28 : 31,134.84 = 8,276.80 : x
  2. Step 2: Convert to fraction form
    20,757.28/31,134.84 = 8,276.80/x
  3. Step 3: Cross multiply
    20,757.28x = 31,134.84 × 8,276.80
  4. Step 4: Simplify right side
    20,757.28x = 257,696,843.71
  5. Step 5: Solve for x
    x = 257,696,843.71/20,757.28
  6. Step 6: Final answer
    x = 12,414.77

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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.