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Finding the Fourth Proportional to 17,932.70, 24,747.04 and 9,974.46

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Solution

The fourth proportional to 17,932.70, 24,747.04 and 9,974.46 is: 13,764.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,932.70 : 24,747.04 = 9,974.46 : x
  2. Step 2: Convert to fraction form
    17,932.70/24,747.04 = 9,974.46/x
  3. Step 3: Cross multiply
    17,932.70x = 24,747.04 × 9,974.46
  4. Step 4: Simplify right side
    17,932.70x = 246,838,360.60
  5. Step 5: Solve for x
    x = 246,838,360.60/17,932.70
  6. Step 6: Final answer
    x = 13,764.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.