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Finding the Fourth Proportional to 17,634.65, 24,334.97 and 10,082.21

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Solution

The fourth proportional to 17,634.65, 24,334.97 and 10,082.21 is: 13,912.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,634.65 : 24,334.97 = 10,082.21 : x
  2. Step 2: Convert to fraction form
    17,634.65/24,334.97 = 10,082.21/x
  3. Step 3: Cross multiply
    17,634.65x = 24,334.97 × 10,082.21
  4. Step 4: Simplify right side
    17,634.65x = 245,350,105.80
  5. Step 5: Solve for x
    x = 245,350,105.80/17,634.65
  6. Step 6: Final answer
    x = 13,912.96

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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.