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Finding the Fourth Proportional to 20,728.36, 31,082.46 and 7,571.80

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Solution

The fourth proportional to 20,728.36, 31,082.46 and 7,571.80 is: 11,354.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,728.36 : 31,082.46 = 7,571.80 : x
  2. Step 2: Convert to fraction form
    20,728.36/31,082.46 = 7,571.80/x
  3. Step 3: Cross multiply
    20,728.36x = 31,082.46 × 7,571.80
  4. Step 4: Simplify right side
    20,728.36x = 235,350,170.63
  5. Step 5: Solve for x
    x = 235,350,170.63/20,728.36
  6. Step 6: Final answer
    x = 11,354.02

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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.