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Finding the Fourth Proportional to 20,508.44, 30,764.34 and 5,717.49

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Solution

The fourth proportional to 20,508.44, 30,764.34 and 5,717.49 is: 8,576.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,508.44 : 30,764.34 = 5,717.49 : x
  2. Step 2: Convert to fraction form
    20,508.44/30,764.34 = 5,717.49/x
  3. Step 3: Cross multiply
    20,508.44x = 30,764.34 × 5,717.49
  4. Step 4: Simplify right side
    20,508.44x = 175,894,806.31
  5. Step 5: Solve for x
    x = 175,894,806.31/20,508.44
  6. Step 6: Final answer
    x = 8,576.71

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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.