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Finding the Fourth Proportional to 20,179.38, 27,848.22 and 11,105.10

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Solution

The fourth proportional to 20,179.38, 27,848.22 and 11,105.10 is: 15,325.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,179.38 : 27,848.22 = 11,105.10 : x
  2. Step 2: Convert to fraction form
    20,179.38/27,848.22 = 11,105.10/x
  3. Step 3: Cross multiply
    20,179.38x = 27,848.22 × 11,105.10
  4. Step 4: Simplify right side
    20,179.38x = 309,257,267.92
  5. Step 5: Solve for x
    x = 309,257,267.92/20,179.38
  6. Step 6: Final answer
    x = 15,325.41

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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.