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Finding the Fourth Proportional to 12,323.52, 18,496.26 and 5,753.43

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Solution

The fourth proportional to 12,323.52, 18,496.26 and 5,753.43 is: 8,635.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,323.52 : 18,496.26 = 5,753.43 : x
  2. Step 2: Convert to fraction form
    12,323.52/18,496.26 = 5,753.43/x
  3. Step 3: Cross multiply
    12,323.52x = 18,496.26 × 5,753.43
  4. Step 4: Simplify right side
    12,323.52x = 106,416,937.17
  5. Step 5: Solve for x
    x = 106,416,937.17/12,323.52
  6. Step 6: Final answer
    x = 8,635.27

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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.