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Finding the Fourth Proportional to 22,523.40, 31,082.13 and 12,451.86

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Solution

The fourth proportional to 22,523.40, 31,082.13 and 12,451.86 is: 17,183.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,523.40 : 31,082.13 = 12,451.86 : x
  2. Step 2: Convert to fraction form
    22,523.40/31,082.13 = 12,451.86/x
  3. Step 3: Cross multiply
    22,523.40x = 31,082.13 × 12,451.86
  4. Step 4: Simplify right side
    22,523.40x = 387,030,331.26
  5. Step 5: Solve for x
    x = 387,030,331.26/22,523.40
  6. Step 6: Final answer
    x = 17,183.48

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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.