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Finding the Fourth Proportional to 20,872.70, 31,309.12 and 6,082

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Solution

The fourth proportional to 20,872.70, 31,309.12 and 6,082 is: 9,123.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,872.70 : 31,309.12 = 6,082 : x
  2. Step 2: Convert to fraction form
    20,872.70/31,309.12 = 6,082/x
  3. Step 3: Cross multiply
    20,872.70x = 31,309.12 × 6,082
  4. Step 4: Simplify right side
    20,872.70x = 190,422,067.84
  5. Step 5: Solve for x
    x = 190,422,067.84/20,872.70
  6. Step 6: Final answer
    x = 9,123.02

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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.