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Finding the Fourth Proportional to 12,105.78, 18,156.66 and 3,338.70

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Solution

The fourth proportional to 12,105.78, 18,156.66 and 3,338.70 is: 5,007.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,105.78 : 18,156.66 = 3,338.70 : x
  2. Step 2: Convert to fraction form
    12,105.78/18,156.66 = 3,338.70/x
  3. Step 3: Cross multiply
    12,105.78x = 18,156.66 × 3,338.70
  4. Step 4: Simplify right side
    12,105.78x = 60,619,640.74
  5. Step 5: Solve for x
    x = 60,619,640.74/12,105.78
  6. Step 6: Final answer
    x = 5,007.50

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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.