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Finding the Fourth Proportional to 13,729.53, 18,947.28 and 8,350.41

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Solution

The fourth proportional to 13,729.53, 18,947.28 and 8,350.41 is: 11,523.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,729.53 : 18,947.28 = 8,350.41 : x
  2. Step 2: Convert to fraction form
    13,729.53/18,947.28 = 8,350.41/x
  3. Step 3: Cross multiply
    13,729.53x = 18,947.28 × 8,350.41
  4. Step 4: Simplify right side
    13,729.53x = 158,217,556.38
  5. Step 5: Solve for x
    x = 158,217,556.38/13,729.53
  6. Step 6: Final answer
    x = 11,523.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.