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Finding the Fourth Proportional to 26,924.54, 40,383.92 and 7,205.09

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Solution

The fourth proportional to 26,924.54, 40,383.92 and 7,205.09 is: 10,806.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,924.54 : 40,383.92 = 7,205.09 : x
  2. Step 2: Convert to fraction form
    26,924.54/40,383.92 = 7,205.09/x
  3. Step 3: Cross multiply
    26,924.54x = 40,383.92 × 7,205.09
  4. Step 4: Simplify right side
    26,924.54x = 290,969,540.21
  5. Step 5: Solve for x
    x = 290,969,540.21/26,924.54
  6. Step 6: Final answer
    x = 10,806.85

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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.