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Finding the Fourth Proportional to 20,872.10, 31,311.09 and 6,082.11

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Solution

The fourth proportional to 20,872.10, 31,311.09 and 6,082.11 is: 9,124.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,872.10 : 31,311.09 = 6,082.11 : x
  2. Step 2: Convert to fraction form
    20,872.10/31,311.09 = 6,082.11/x
  3. Step 3: Cross multiply
    20,872.10x = 31,311.09 × 6,082.11
  4. Step 4: Simplify right side
    20,872.10x = 190,437,493.60
  5. Step 5: Solve for x
    x = 190,437,493.60/20,872.10
  6. Step 6: Final answer
    x = 9,124.02

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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.