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Finding the Fourth Proportional to 23,082.75, 31,854.11 and 12,472.37

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Solution

The fourth proportional to 23,082.75, 31,854.11 and 12,472.37 is: 17,211.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,082.75 : 31,854.11 = 12,472.37 : x
  2. Step 2: Convert to fraction form
    23,082.75/31,854.11 = 12,472.37/x
  3. Step 3: Cross multiply
    23,082.75x = 31,854.11 × 12,472.37
  4. Step 4: Simplify right side
    23,082.75x = 397,296,024.31
  5. Step 5: Solve for x
    x = 397,296,024.31/23,082.75
  6. Step 6: Final answer
    x = 17,211.82

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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.