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Finding the Fourth Proportional to 26,778.70, 40,192.71 and 13,640.50

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Solution

The fourth proportional to 26,778.70, 40,192.71 and 13,640.50 is: 20,473.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,778.70 : 40,192.71 = 13,640.50 : x
  2. Step 2: Convert to fraction form
    26,778.70/40,192.71 = 13,640.50/x
  3. Step 3: Cross multiply
    26,778.70x = 40,192.71 × 13,640.50
  4. Step 4: Simplify right side
    26,778.70x = 548,248,660.76
  5. Step 5: Solve for x
    x = 548,248,660.76/26,778.70
  6. Step 6: Final answer
    x = 20,473.31

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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.