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Finding the Fourth Proportional to 26,480.22, 39,725.81 and 7,760.87

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Solution

The fourth proportional to 26,480.22, 39,725.81 and 7,760.87 is: 11,642.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,480.22 : 39,725.81 = 7,760.87 : x
  2. Step 2: Convert to fraction form
    26,480.22/39,725.81 = 7,760.87/x
  3. Step 3: Cross multiply
    26,480.22x = 39,725.81 × 7,760.87
  4. Step 4: Simplify right side
    26,480.22x = 308,306,847.05
  5. Step 5: Solve for x
    x = 308,306,847.05/26,480.22
  6. Step 6: Final answer
    x = 11,642.91

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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.