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Finding the Fourth Proportional to 26,568.80, 39,849.85 and 7,848.48

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Solution

The fourth proportional to 26,568.80, 39,849.85 and 7,848.48 is: 11,771.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,568.80 : 39,849.85 = 7,848.48 : x
  2. Step 2: Convert to fraction form
    26,568.80/39,849.85 = 7,848.48/x
  3. Step 3: Cross multiply
    26,568.80x = 39,849.85 × 7,848.48
  4. Step 4: Simplify right side
    26,568.80x = 312,760,750.73
  5. Step 5: Solve for x
    x = 312,760,750.73/26,568.80
  6. Step 6: Final answer
    x = 11,771.73

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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.