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Finding the Fourth Proportional to 20,872.05, 31,308.08 and 6,082.13

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Solution

The fourth proportional to 20,872.05, 31,308.08 and 6,082.13 is: 9,123.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,872.05 : 31,308.08 = 6,082.13 : x
  2. Step 2: Convert to fraction form
    20,872.05/31,308.08 = 6,082.13/x
  3. Step 3: Cross multiply
    20,872.05x = 31,308.08 × 6,082.13
  4. Step 4: Simplify right side
    20,872.05x = 190,419,625.66
  5. Step 5: Solve for x
    x = 190,419,625.66/20,872.05
  6. Step 6: Final answer
    x = 9,123.19

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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.