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Finding the Fourth Proportional to 17,704.38, 24,432.26 and 9,747.15

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Solution

The fourth proportional to 17,704.38, 24,432.26 and 9,747.15 is: 13,451.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,704.38 : 24,432.26 = 9,747.15 : x
  2. Step 2: Convert to fraction form
    17,704.38/24,432.26 = 9,747.15/x
  3. Step 3: Cross multiply
    17,704.38x = 24,432.26 × 9,747.15
  4. Step 4: Simplify right side
    17,704.38x = 238,144,903.06
  5. Step 5: Solve for x
    x = 238,144,903.06/17,704.38
  6. Step 6: Final answer
    x = 13,451.19

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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.