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Finding the Fourth Proportional to 22,524.35, 31,082.67 and 12,452.13

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Solution

The fourth proportional to 22,524.35, 31,082.67 and 12,452.13 is: 17,183.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,524.35 : 31,082.67 = 12,452.13 : x
  2. Step 2: Convert to fraction form
    22,524.35/31,082.67 = 12,452.13/x
  3. Step 3: Cross multiply
    22,524.35x = 31,082.67 × 12,452.13
  4. Step 4: Simplify right side
    22,524.35x = 387,045,447.59
  5. Step 5: Solve for x
    x = 387,045,447.59/22,524.35
  6. Step 6: Final answer
    x = 17,183.43

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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.