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Finding the Fourth Proportional to 17,920.77, 24,732.16 and 9,963.73

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Solution

The fourth proportional to 17,920.77, 24,732.16 and 9,963.73 is: 13,750.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,920.77 : 24,732.16 = 9,963.73 : x
  2. Step 2: Convert to fraction form
    17,920.77/24,732.16 = 9,963.73/x
  3. Step 3: Cross multiply
    17,920.77x = 24,732.16 × 9,963.73
  4. Step 4: Simplify right side
    17,920.77x = 246,424,514.74
  5. Step 5: Solve for x
    x = 246,424,514.74/17,920.77
  6. Step 6: Final answer
    x = 13,750.78

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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.