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Finding the Fourth Proportional to 13,489.62, 20,198.73 and 9,519.27

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Solution

The fourth proportional to 13,489.62, 20,198.73 and 9,519.27 is: 14,253.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,489.62 : 20,198.73 = 9,519.27 : x
  2. Step 2: Convert to fraction form
    13,489.62/20,198.73 = 9,519.27/x
  3. Step 3: Cross multiply
    13,489.62x = 20,198.73 × 9,519.27
  4. Step 4: Simplify right side
    13,489.62x = 192,277,164.53
  5. Step 5: Solve for x
    x = 192,277,164.53/13,489.62
  6. Step 6: Final answer
    x = 14,253.71

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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.