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Finding the Fourth Proportional to 20,163.78, 27,824.43 and 11,210.74

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Solution

The fourth proportional to 20,163.78, 27,824.43 and 11,210.74 is: 15,469.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,163.78 : 27,824.43 = 11,210.74 : x
  2. Step 2: Convert to fraction form
    20,163.78/27,824.43 = 11,210.74/x
  3. Step 3: Cross multiply
    20,163.78x = 27,824.43 × 11,210.74
  4. Step 4: Simplify right side
    20,163.78x = 311,932,450.38
  5. Step 5: Solve for x
    x = 311,932,450.38/20,163.78
  6. Step 6: Final answer
    x = 15,469.94

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Why These Related Problems?

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