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Finding the Fourth Proportional to 22,523.54, 31,082.30 and 12,452.72

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Solution

The fourth proportional to 22,523.54, 31,082.30 and 12,452.72 is: 17,184.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,523.54 : 31,082.30 = 12,452.72 : x
  2. Step 2: Convert to fraction form
    22,523.54/31,082.30 = 12,452.72/x
  3. Step 3: Cross multiply
    22,523.54x = 31,082.30 × 12,452.72
  4. Step 4: Simplify right side
    22,523.54x = 387,059,178.86
  5. Step 5: Solve for x
    x = 387,059,178.86/22,523.54
  6. Step 6: Final answer
    x = 17,184.65

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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.