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Finding the Fourth Proportional to 12,082.24, 16,686.17 and 8,315.14

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Solution

The fourth proportional to 12,082.24, 16,686.17 and 8,315.14 is: 11,483.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082.24 : 16,686.17 = 8,315.14 : x
  2. Step 2: Convert to fraction form
    12,082.24/16,686.17 = 8,315.14/x
  3. Step 3: Cross multiply
    12,082.24x = 16,686.17 × 8,315.14
  4. Step 4: Simplify right side
    12,082.24x = 138,747,839.61
  5. Step 5: Solve for x
    x = 138,747,839.61/12,082.24
  6. Step 6: Final answer
    x = 11,483.62

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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.