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Finding the Fourth Proportional to 17,042.38, 23,512.40 and 9,868.38

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Solution

The fourth proportional to 17,042.38, 23,512.40 and 9,868.38 is: 13,614.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,042.38 : 23,512.40 = 9,868.38 : x
  2. Step 2: Convert to fraction form
    17,042.38/23,512.40 = 9,868.38/x
  3. Step 3: Cross multiply
    17,042.38x = 23,512.40 × 9,868.38
  4. Step 4: Simplify right side
    17,042.38x = 232,029,248.57
  5. Step 5: Solve for x
    x = 232,029,248.57/17,042.38
  6. Step 6: Final answer
    x = 13,614.84

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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.