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Finding the Fourth Proportional to 17,239.74, 23,789.92 and 9,686.38

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Solution

The fourth proportional to 17,239.74, 23,789.92 and 9,686.38 is: 13,366.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,239.74 : 23,789.92 = 9,686.38 : x
  2. Step 2: Convert to fraction form
    17,239.74/23,789.92 = 9,686.38/x
  3. Step 3: Cross multiply
    17,239.74x = 23,789.92 × 9,686.38
  4. Step 4: Simplify right side
    17,239.74x = 230,438,205.29
  5. Step 5: Solve for x
    x = 230,438,205.29/17,239.74
  6. Step 6: Final answer
    x = 13,366.69

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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.