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Finding the Fourth Proportional to 11,532.97, 17,299.44 and 8,252.47

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Solution

The fourth proportional to 11,532.97, 17,299.44 and 8,252.47 is: 12,378.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,532.97 : 17,299.44 = 8,252.47 : x
  2. Step 2: Convert to fraction form
    11,532.97/17,299.44 = 8,252.47/x
  3. Step 3: Cross multiply
    11,532.97x = 17,299.44 × 8,252.47
  4. Step 4: Simplify right side
    11,532.97x = 142,763,109.62
  5. Step 5: Solve for x
    x = 142,763,109.62/11,532.97
  6. Step 6: Final answer
    x = 12,378.69

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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.