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Finding the Fourth Proportional to 21,229.15, 31,844.03 and 8,082.24

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Solution

The fourth proportional to 21,229.15, 31,844.03 and 8,082.24 is: 12,123.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,229.15 : 31,844.03 = 8,082.24 : x
  2. Step 2: Convert to fraction form
    21,229.15/31,844.03 = 8,082.24/x
  3. Step 3: Cross multiply
    21,229.15x = 31,844.03 × 8,082.24
  4. Step 4: Simplify right side
    21,229.15x = 257,371,052.62
  5. Step 5: Solve for x
    x = 257,371,052.62/21,229.15
  6. Step 6: Final answer
    x = 12,123.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.