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Finding the Fourth Proportional to 22,523.70, 31,082.54 and 12,451.95

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Solution

The fourth proportional to 22,523.70, 31,082.54 and 12,451.95 is: 17,183.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,523.70 : 31,082.54 = 12,451.95 : x
  2. Step 2: Convert to fraction form
    22,523.70/31,082.54 = 12,451.95/x
  3. Step 3: Cross multiply
    22,523.70x = 31,082.54 × 12,451.95
  4. Step 4: Simplify right side
    22,523.70x = 387,038,171.69
  5. Step 5: Solve for x
    x = 387,038,171.69/22,523.70
  6. Step 6: Final answer
    x = 17,183.60

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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.