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Finding the Fourth Proportional to 17,241, 25,863 and 4,761.04

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Solution

The fourth proportional to 17,241, 25,863 and 4,761.04 is: 7,141.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,241 : 25,863 = 4,761.04 : x
  2. Step 2: Convert to fraction form
    17,241/25,863 = 4,761.04/x
  3. Step 3: Cross multiply
    17,241x = 25,863 × 4,761.04
  4. Step 4: Simplify right side
    17,241x = 123,134,777.52
  5. Step 5: Solve for x
    x = 123,134,777.52/17,241
  6. Step 6: Final answer
    x = 7,141.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.