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Finding the Fourth Proportional to 20,163.76, 27,838.45 and 12,996.20

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Solution

The fourth proportional to 20,163.76, 27,838.45 and 12,996.20 is: 17,942.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,163.76 : 27,838.45 = 12,996.20 : x
  2. Step 2: Convert to fraction form
    20,163.76/27,838.45 = 12,996.20/x
  3. Step 3: Cross multiply
    20,163.76x = 27,838.45 × 12,996.20
  4. Step 4: Simplify right side
    20,163.76x = 361,794,063.89
  5. Step 5: Solve for x
    x = 361,794,063.89/20,163.76
  6. Step 6: Final answer
    x = 17,942.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.