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Finding the Fourth Proportional to 12,426.68, 17,149.14 and 6,761.78

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Solution

The fourth proportional to 12,426.68, 17,149.14 and 6,761.78 is: 9,331.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,426.68 : 17,149.14 = 6,761.78 : x
  2. Step 2: Convert to fraction form
    12,426.68/17,149.14 = 6,761.78/x
  3. Step 3: Cross multiply
    12,426.68x = 17,149.14 × 6,761.78
  4. Step 4: Simplify right side
    12,426.68x = 115,958,711.87
  5. Step 5: Solve for x
    x = 115,958,711.87/12,426.68
  6. Step 6: Final answer
    x = 9,331.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.