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Finding the Fourth Proportional to 20,529.76, 30,791.98 and 6,491.20

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Solution

The fourth proportional to 20,529.76, 30,791.98 and 6,491.20 is: 9,735.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,529.76 : 30,791.98 = 6,491.20 : x
  2. Step 2: Convert to fraction form
    20,529.76/30,791.98 = 6,491.20/x
  3. Step 3: Cross multiply
    20,529.76x = 30,791.98 × 6,491.20
  4. Step 4: Simplify right side
    20,529.76x = 199,876,900.58
  5. Step 5: Solve for x
    x = 199,876,900.58/20,529.76
  6. Step 6: Final answer
    x = 9,735.96

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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.