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Finding the Fourth Proportional to 17,950.38, 24,770.97 and 9,992.43

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Solution

The fourth proportional to 17,950.38, 24,770.97 and 9,992.43 is: 13,789.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,950.38 : 24,770.97 = 9,992.43 : x
  2. Step 2: Convert to fraction form
    17,950.38/24,770.97 = 9,992.43/x
  3. Step 3: Cross multiply
    17,950.38x = 24,770.97 × 9,992.43
  4. Step 4: Simplify right side
    17,950.38x = 247,522,183.76
  5. Step 5: Solve for x
    x = 247,522,183.76/17,950.38
  6. Step 6: Final answer
    x = 13,789.24

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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.