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Finding the Fourth Proportional to 17,920.62, 24,731.97 and 9,964.38

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Solution

The fourth proportional to 17,920.62, 24,731.97 and 9,964.38 is: 13,751.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,920.62 : 24,731.97 = 9,964.38 : x
  2. Step 2: Convert to fraction form
    17,920.62/24,731.97 = 9,964.38/x
  3. Step 3: Cross multiply
    17,920.62x = 24,731.97 × 9,964.38
  4. Step 4: Simplify right side
    17,920.62x = 246,438,747.23
  5. Step 5: Solve for x
    x = 246,438,747.23/17,920.62
  6. Step 6: Final answer
    x = 13,751.69

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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.