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Finding the Fourth Proportional to 12,467.71, 17,207.68 and 7,432.26

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Solution

The fourth proportional to 12,467.71, 17,207.68 and 7,432.26 is: 10,257.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,467.71 : 17,207.68 = 7,432.26 : x
  2. Step 2: Convert to fraction form
    12,467.71/17,207.68 = 7,432.26/x
  3. Step 3: Cross multiply
    12,467.71x = 17,207.68 × 7,432.26
  4. Step 4: Simplify right side
    12,467.71x = 127,891,951.76
  5. Step 5: Solve for x
    x = 127,891,951.76/12,467.71
  6. Step 6: Final answer
    x = 10,257.85

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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.