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Finding the Fourth Proportional to 22,523.87, 31,082.64 and 12,452.33

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Solution

The fourth proportional to 22,523.87, 31,082.64 and 12,452.33 is: 17,184.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,523.87 : 31,082.64 = 12,452.33 : x
  2. Step 2: Convert to fraction form
    22,523.87/31,082.64 = 12,452.33/x
  3. Step 3: Cross multiply
    22,523.87x = 31,082.64 × 12,452.33
  4. Step 4: Simplify right side
    22,523.87x = 387,051,321.56
  5. Step 5: Solve for x
    x = 387,051,321.56/22,523.87
  6. Step 6: Final answer
    x = 17,184.05

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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.