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Finding the Fourth Proportional to 20,489.89, 30,736.07 and 6,450.38

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Solution

The fourth proportional to 20,489.89, 30,736.07 and 6,450.38 is: 9,675.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,489.89 : 30,736.07 = 6,450.38 : x
  2. Step 2: Convert to fraction form
    20,489.89/30,736.07 = 6,450.38/x
  3. Step 3: Cross multiply
    20,489.89x = 30,736.07 × 6,450.38
  4. Step 4: Simplify right side
    20,489.89x = 198,259,145.27
  5. Step 5: Solve for x
    x = 198,259,145.27/20,489.89
  6. Step 6: Final answer
    x = 9,675.95

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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.