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Finding the Fourth Proportional to 26,604.06, 39,906 and 7,884.24

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Solution

The fourth proportional to 26,604.06, 39,906 and 7,884.24 is: 11,826.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,604.06 : 39,906 = 7,884.24 : x
  2. Step 2: Convert to fraction form
    26,604.06/39,906 = 7,884.24/x
  3. Step 3: Cross multiply
    26,604.06x = 39,906 × 7,884.24
  4. Step 4: Simplify right side
    26,604.06x = 314,628,481.44
  5. Step 5: Solve for x
    x = 314,628,481.44/26,604.06
  6. Step 6: Final answer
    x = 11,826.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.