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Finding the Fourth Proportional to 23,082.74, 31,854.17 and 12,472.37

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Solution

The fourth proportional to 23,082.74, 31,854.17 and 12,472.37 is: 17,211.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,082.74 : 31,854.17 = 12,472.37 : x
  2. Step 2: Convert to fraction form
    23,082.74/31,854.17 = 12,472.37/x
  3. Step 3: Cross multiply
    23,082.74x = 31,854.17 × 12,472.37
  4. Step 4: Simplify right side
    23,082.74x = 397,296,772.65
  5. Step 5: Solve for x
    x = 397,296,772.65/23,082.74
  6. Step 6: Final answer
    x = 17,211.86

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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.