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Finding the Fourth Proportional to 13,299.53, 18,351.14 and 8,523.68

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Solution

The fourth proportional to 13,299.53, 18,351.14 and 8,523.68 is: 11,761.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,299.53 : 18,351.14 = 8,523.68 : x
  2. Step 2: Convert to fraction form
    13,299.53/18,351.14 = 8,523.68/x
  3. Step 3: Cross multiply
    13,299.53x = 18,351.14 × 8,523.68
  4. Step 4: Simplify right side
    13,299.53x = 156,419,110.62
  5. Step 5: Solve for x
    x = 156,419,110.62/13,299.53
  6. Step 6: Final answer
    x = 11,761.26

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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.