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Finding the Fourth Proportional to 12,426.76, 17,149.25 and 6,761.82

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Solution

The fourth proportional to 12,426.76, 17,149.25 and 6,761.82 is: 9,331.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,426.76 : 17,149.25 = 6,761.82 : x
  2. Step 2: Convert to fraction form
    12,426.76/17,149.25 = 6,761.82/x
  3. Step 3: Cross multiply
    12,426.76x = 17,149.25 × 6,761.82
  4. Step 4: Simplify right side
    12,426.76x = 115,960,141.64
  5. Step 5: Solve for x
    x = 115,960,141.64/12,426.76
  6. Step 6: Final answer
    x = 9,331.49

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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.