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Finding the Fourth Proportional to 17,789.73, 24,549.81 and 9,832.11

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Solution

The fourth proportional to 17,789.73, 24,549.81 and 9,832.11 is: 13,568.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,789.73 : 24,549.81 = 9,832.11 : x
  2. Step 2: Convert to fraction form
    17,789.73/24,549.81 = 9,832.11/x
  3. Step 3: Cross multiply
    17,789.73x = 24,549.81 × 9,832.11
  4. Step 4: Simplify right side
    17,789.73x = 241,376,432.40
  5. Step 5: Solve for x
    x = 241,376,432.40/17,789.73
  6. Step 6: Final answer
    x = 13,568.30

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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.