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Finding the Fourth Proportional to 20,800.38, 31,194.41 and 6,009.43

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Solution

The fourth proportional to 20,800.38, 31,194.41 and 6,009.43 is: 9,012.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,800.38 : 31,194.41 = 6,009.43 : x
  2. Step 2: Convert to fraction form
    20,800.38/31,194.41 = 6,009.43/x
  3. Step 3: Cross multiply
    20,800.38x = 31,194.41 × 6,009.43
  4. Step 4: Simplify right side
    20,800.38x = 187,460,608.26
  5. Step 5: Solve for x
    x = 187,460,608.26/20,800.38
  6. Step 6: Final answer
    x = 9,012.36

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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.