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Finding the Fourth Proportional to 17,932.56, 24,747.51 and 9,974.58

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Solution

The fourth proportional to 17,932.56, 24,747.51 and 9,974.58 is: 13,765.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,932.56 : 24,747.51 = 9,974.58 : x
  2. Step 2: Convert to fraction form
    17,932.56/24,747.51 = 9,974.58/x
  3. Step 3: Cross multiply
    17,932.56x = 24,747.51 × 9,974.58
  4. Step 4: Simplify right side
    17,932.56x = 246,846,018.30
  5. Step 5: Solve for x
    x = 246,846,018.30/17,932.56
  6. Step 6: Final answer
    x = 13,765.24

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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.