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Finding the Fourth Proportional to 20,687.25, 31,041.12 and 8,206.97

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Solution

The fourth proportional to 20,687.25, 31,041.12 and 8,206.97 is: 12,314.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,687.25 : 31,041.12 = 8,206.97 : x
  2. Step 2: Convert to fraction form
    20,687.25/31,041.12 = 8,206.97/x
  3. Step 3: Cross multiply
    20,687.25x = 31,041.12 × 8,206.97
  4. Step 4: Simplify right side
    20,687.25x = 254,753,385.40
  5. Step 5: Solve for x
    x = 254,753,385.40/20,687.25
  6. Step 6: Final answer
    x = 12,314.51

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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.