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Finding the Fourth Proportional to 17,167.39, 23,691.33 and 9,715.39

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Solution

The fourth proportional to 17,167.39, 23,691.33 and 9,715.39 is: 13,407.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,167.39 : 23,691.33 = 9,715.39 : x
  2. Step 2: Convert to fraction form
    17,167.39/23,691.33 = 9,715.39/x
  3. Step 3: Cross multiply
    17,167.39x = 23,691.33 × 9,715.39
  4. Step 4: Simplify right side
    17,167.39x = 230,170,510.57
  5. Step 5: Solve for x
    x = 230,170,510.57/17,167.39
  6. Step 6: Final answer
    x = 13,407.43

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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.