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Finding the Fourth Proportional to 22,523.67, 31,082.76 and 12,452.09

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Solution

The fourth proportional to 22,523.67, 31,082.76 and 12,452.09 is: 17,183.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,523.67 : 31,082.76 = 12,452.09 : x
  2. Step 2: Convert to fraction form
    22,523.67/31,082.76 = 12,452.09/x
  3. Step 3: Cross multiply
    22,523.67x = 31,082.76 × 12,452.09
  4. Step 4: Simplify right side
    22,523.67x = 387,045,169.55
  5. Step 5: Solve for x
    x = 387,045,169.55/22,523.67
  6. Step 6: Final answer
    x = 17,183.93

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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.