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Finding the Fourth Proportional to 26,854.80, 40,282.20 and 15,766.80

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Solution

The fourth proportional to 26,854.80, 40,282.20 and 15,766.80 is: 23,650.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,854.80 : 40,282.20 = 15,766.80 : x
  2. Step 2: Convert to fraction form
    26,854.80/40,282.20 = 15,766.80/x
  3. Step 3: Cross multiply
    26,854.80x = 40,282.20 × 15,766.80
  4. Step 4: Simplify right side
    26,854.80x = 635,121,390.96
  5. Step 5: Solve for x
    x = 635,121,390.96/26,854.80
  6. Step 6: Final answer
    x = 23,650.20

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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.