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Finding the Fourth Proportional to 17,200.38, 23,734.41 and 10,125.44

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Solution

The fourth proportional to 17,200.38, 23,734.41 and 10,125.44 is: 13,971.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,200.38 : 23,734.41 = 10,125.44 : x
  2. Step 2: Convert to fraction form
    17,200.38/23,734.41 = 10,125.44/x
  3. Step 3: Cross multiply
    17,200.38x = 23,734.41 × 10,125.44
  4. Step 4: Simplify right side
    17,200.38x = 240,321,344.39
  5. Step 5: Solve for x
    x = 240,321,344.39/17,200.38
  6. Step 6: Final answer
    x = 13,971.86

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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.