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Finding the Fourth Proportional to 26,984.36, 40,481.41 and 12,200.24

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Solution

The fourth proportional to 26,984.36, 40,481.41 and 12,200.24 is: 18,302.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,984.36 : 40,481.41 = 12,200.24 : x
  2. Step 2: Convert to fraction form
    26,984.36/40,481.41 = 12,200.24/x
  3. Step 3: Cross multiply
    26,984.36x = 40,481.41 × 12,200.24
  4. Step 4: Simplify right side
    26,984.36x = 493,882,917.54
  5. Step 5: Solve for x
    x = 493,882,917.54/26,984.36
  6. Step 6: Final answer
    x = 18,302.56

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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.