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Finding the Fourth Proportional to 17,921.58, 24,731.62 and 9,963.73

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Solution

The fourth proportional to 17,921.58, 24,731.62 and 9,963.73 is: 13,749.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,921.58 : 24,731.62 = 9,963.73 : x
  2. Step 2: Convert to fraction form
    17,921.58/24,731.62 = 9,963.73/x
  3. Step 3: Cross multiply
    17,921.58x = 24,731.62 × 9,963.73
  4. Step 4: Simplify right side
    17,921.58x = 246,419,184.14
  5. Step 5: Solve for x
    x = 246,419,184.14/17,921.58
  6. Step 6: Final answer
    x = 13,749.86

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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.