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Finding the Fourth Proportional to 17,949.78, 24,772.16 and 9,992.14

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Solution

The fourth proportional to 17,949.78, 24,772.16 and 9,992.14 is: 13,789.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,949.78 : 24,772.16 = 9,992.14 : x
  2. Step 2: Convert to fraction form
    17,949.78/24,772.16 = 9,992.14/x
  3. Step 3: Cross multiply
    17,949.78x = 24,772.16 × 9,992.14
  4. Step 4: Simplify right side
    17,949.78x = 247,526,890.82
  5. Step 5: Solve for x
    x = 247,526,890.82/17,949.78
  6. Step 6: Final answer
    x = 13,789.97

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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.