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Finding the Fourth Proportional to 20,481.66, 30,722.47 and 6,442.92

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Solution

The fourth proportional to 20,481.66, 30,722.47 and 6,442.92 is: 9,664.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,481.66 : 30,722.47 = 6,442.92 : x
  2. Step 2: Convert to fraction form
    20,481.66/30,722.47 = 6,442.92/x
  3. Step 3: Cross multiply
    20,481.66x = 30,722.47 × 6,442.92
  4. Step 4: Simplify right side
    20,481.66x = 197,942,416.41
  5. Step 5: Solve for x
    x = 197,942,416.41/20,481.66
  6. Step 6: Final answer
    x = 9,664.37

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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.