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Finding the Fourth Proportional to 20,673.08, 30,991.41 and 8,201.86

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Solution

The fourth proportional to 20,673.08, 30,991.41 and 8,201.86 is: 12,295.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,673.08 : 30,991.41 = 8,201.86 : x
  2. Step 2: Convert to fraction form
    20,673.08/30,991.41 = 8,201.86/x
  3. Step 3: Cross multiply
    20,673.08x = 30,991.41 × 8,201.86
  4. Step 4: Simplify right side
    20,673.08x = 254,187,165.01
  5. Step 5: Solve for x
    x = 254,187,165.01/20,673.08
  6. Step 6: Final answer
    x = 12,295.56

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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.