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Finding the Fourth Proportional to 12,201.69, 18,199.41 and 11,832.54

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Solution

The fourth proportional to 12,201.69, 18,199.41 and 11,832.54 is: 17,648.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.69 : 18,199.41 = 11,832.54 : x
  2. Step 2: Convert to fraction form
    12,201.69/18,199.41 = 11,832.54/x
  3. Step 3: Cross multiply
    12,201.69x = 18,199.41 × 11,832.54
  4. Step 4: Simplify right side
    12,201.69x = 215,345,246.80
  5. Step 5: Solve for x
    x = 215,345,246.80/12,201.69
  6. Step 6: Final answer
    x = 17,648.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.