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Finding the Fourth Proportional to 23,082.38, 31,853.59 and 12,471.99

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Solution

The fourth proportional to 23,082.38, 31,853.59 and 12,471.99 is: 17,211.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,082.38 : 31,853.59 = 12,471.99 : x
  2. Step 2: Convert to fraction form
    23,082.38/31,853.59 = 12,471.99/x
  3. Step 3: Cross multiply
    23,082.38x = 31,853.59 × 12,471.99
  4. Step 4: Simplify right side
    23,082.38x = 397,277,505.31
  5. Step 5: Solve for x
    x = 397,277,505.31/23,082.38
  6. Step 6: Final answer
    x = 17,211.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.