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Finding the Fourth Proportional to 15,034.13, 20,747.43 and 9,738.16

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Solution

The fourth proportional to 15,034.13, 20,747.43 and 9,738.16 is: 13,438.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,034.13 : 20,747.43 = 9,738.16 : x
  2. Step 2: Convert to fraction form
    15,034.13/20,747.43 = 9,738.16/x
  3. Step 3: Cross multiply
    15,034.13x = 20,747.43 × 9,738.16
  4. Step 4: Simplify right side
    15,034.13x = 202,041,817.27
  5. Step 5: Solve for x
    x = 202,041,817.27/15,034.13
  6. Step 6: Final answer
    x = 13,438.88

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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.