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Finding the Fourth Proportional to 20,279.76, 30,424.50 and 6,428.76

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Solution

The fourth proportional to 20,279.76, 30,424.50 and 6,428.76 is: 9,644.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,279.76 : 30,424.50 = 6,428.76 : x
  2. Step 2: Convert to fraction form
    20,279.76/30,424.50 = 6,428.76/x
  3. Step 3: Cross multiply
    20,279.76x = 30,424.50 × 6,428.76
  4. Step 4: Simplify right side
    20,279.76x = 195,591,808.62
  5. Step 5: Solve for x
    x = 195,591,808.62/20,279.76
  6. Step 6: Final answer
    x = 9,644.68

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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.