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Finding the Fourth Proportional to 20,682.41, 31,023.81 and 8,205.44

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Solution

The fourth proportional to 20,682.41, 31,023.81 and 8,205.44 is: 12,308.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,682.41 : 31,023.81 = 8,205.44 : x
  2. Step 2: Convert to fraction form
    20,682.41/31,023.81 = 8,205.44/x
  3. Step 3: Cross multiply
    20,682.41x = 31,023.81 × 8,205.44
  4. Step 4: Simplify right side
    20,682.41x = 254,563,856.41
  5. Step 5: Solve for x
    x = 254,563,856.41/20,682.41
  6. Step 6: Final answer
    x = 12,308.23

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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.