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Finding the Fourth Proportional to 12,147.88, 18,221.82 and 3,383.02

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Solution

The fourth proportional to 12,147.88, 18,221.82 and 3,383.02 is: 5,074.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,147.88 : 18,221.82 = 3,383.02 : x
  2. Step 2: Convert to fraction form
    12,147.88/18,221.82 = 3,383.02/x
  3. Step 3: Cross multiply
    12,147.88x = 18,221.82 × 3,383.02
  4. Step 4: Simplify right side
    12,147.88x = 61,644,781.50
  5. Step 5: Solve for x
    x = 61,644,781.50/12,147.88
  6. Step 6: Final answer
    x = 5,074.53

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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.