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Finding the Fourth Proportional to 12,532.59, 17,294.31 and 6,866.24

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Solution

The fourth proportional to 12,532.59, 17,294.31 and 6,866.24 is: 9,475.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,532.59 : 17,294.31 = 6,866.24 : x
  2. Step 2: Convert to fraction form
    12,532.59/17,294.31 = 6,866.24/x
  3. Step 3: Cross multiply
    12,532.59x = 17,294.31 × 6,866.24
  4. Step 4: Simplify right side
    12,532.59x = 118,746,796.62
  5. Step 5: Solve for x
    x = 118,746,796.62/12,532.59
  6. Step 6: Final answer
    x = 9,475.04

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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.