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Finding the Fourth Proportional to 17,932.25, 24,747.41 and 9,974.63

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Solution

The fourth proportional to 17,932.25, 24,747.41 and 9,974.63 is: 13,765.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,932.25 : 24,747.41 = 9,974.63 : x
  2. Step 2: Convert to fraction form
    17,932.25/24,747.41 = 9,974.63/x
  3. Step 3: Cross multiply
    17,932.25x = 24,747.41 × 9,974.63
  4. Step 4: Simplify right side
    17,932.25x = 246,846,159.41
  5. Step 5: Solve for x
    x = 246,846,159.41/17,932.25
  6. Step 6: Final answer
    x = 13,765.49

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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.