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Finding the Fourth Proportional to 11,532.47, 17,298.70 and 8,251.97

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Solution

The fourth proportional to 11,532.47, 17,298.70 and 8,251.97 is: 12,377.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,532.47 : 17,298.70 = 8,251.97 : x
  2. Step 2: Convert to fraction form
    11,532.47/17,298.70 = 8,251.97/x
  3. Step 3: Cross multiply
    11,532.47x = 17,298.70 × 8,251.97
  4. Step 4: Simplify right side
    11,532.47x = 142,748,225.69
  5. Step 5: Solve for x
    x = 142,748,225.69/11,532.47
  6. Step 6: Final answer
    x = 12,377.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.