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Finding the Fourth Proportional to 12,761.94, 17,614.96 and 8,285.46

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Solution

The fourth proportional to 12,761.94, 17,614.96 and 8,285.46 is: 11,436.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761.94 : 17,614.96 = 8,285.46 : x
  2. Step 2: Convert to fraction form
    12,761.94/17,614.96 = 8,285.46/x
  3. Step 3: Cross multiply
    12,761.94x = 17,614.96 × 8,285.46
  4. Step 4: Simplify right side
    12,761.94x = 145,948,046.48
  5. Step 5: Solve for x
    x = 145,948,046.48/12,761.94
  6. Step 6: Final answer
    x = 11,436.20

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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.