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Finding the Fourth Proportional to 23,082.67, 31,854.07 and 12,472.30

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Solution

The fourth proportional to 23,082.67, 31,854.07 and 12,472.30 is: 17,211.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,082.67 : 31,854.07 = 12,472.30 : x
  2. Step 2: Convert to fraction form
    23,082.67/31,854.07 = 12,472.30/x
  3. Step 3: Cross multiply
    23,082.67x = 31,854.07 × 12,472.30
  4. Step 4: Simplify right side
    23,082.67x = 397,293,517.26
  5. Step 5: Solve for x
    x = 397,293,517.26/23,082.67
  6. Step 6: Final answer
    x = 17,211.77

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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.