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Finding the Fourth Proportional to 12,532.31, 17,293.68 and 6,866.15

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Solution

The fourth proportional to 12,532.31, 17,293.68 and 6,866.15 is: 9,474.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,532.31 : 17,293.68 = 6,866.15 : x
  2. Step 2: Convert to fraction form
    12,532.31/17,293.68 = 6,866.15/x
  3. Step 3: Cross multiply
    12,532.31x = 17,293.68 × 6,866.15
  4. Step 4: Simplify right side
    12,532.31x = 118,741,000.93
  5. Step 5: Solve for x
    x = 118,741,000.93/12,532.31
  6. Step 6: Final answer
    x = 9,474.79

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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.