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Finding the Fourth Proportional to 26,777.70, 40,191.21 and 13,639.50

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Solution

The fourth proportional to 26,777.70, 40,191.21 and 13,639.50 is: 20,471.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,777.70 : 40,191.21 = 13,639.50 : x
  2. Step 2: Convert to fraction form
    26,777.70/40,191.21 = 13,639.50/x
  3. Step 3: Cross multiply
    26,777.70x = 40,191.21 × 13,639.50
  4. Step 4: Simplify right side
    26,777.70x = 548,188,008.80
  5. Step 5: Solve for x
    x = 548,188,008.80/26,777.70
  6. Step 6: Final answer
    x = 20,471.81

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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.