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Finding the Fourth Proportional to 13,493.43, 20,239.74 and 6,473.97

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Solution

The fourth proportional to 13,493.43, 20,239.74 and 6,473.97 is: 9,710.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,493.43 : 20,239.74 = 6,473.97 : x
  2. Step 2: Convert to fraction form
    13,493.43/20,239.74 = 6,473.97/x
  3. Step 3: Cross multiply
    13,493.43x = 20,239.74 × 6,473.97
  4. Step 4: Simplify right side
    13,493.43x = 131,031,469.57
  5. Step 5: Solve for x
    x = 131,031,469.57/13,493.43
  6. Step 6: Final answer
    x = 9,710.76

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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.