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Finding the Fourth Proportional to 12,213.52, 16,854.42 and 8,021.52

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Solution

The fourth proportional to 12,213.52, 16,854.42 and 8,021.52 is: 11,069.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,213.52 : 16,854.42 = 8,021.52 : x
  2. Step 2: Convert to fraction form
    12,213.52/16,854.42 = 8,021.52/x
  3. Step 3: Cross multiply
    12,213.52x = 16,854.42 × 8,021.52
  4. Step 4: Simplify right side
    12,213.52x = 135,198,067.12
  5. Step 5: Solve for x
    x = 135,198,067.12/12,213.52
  6. Step 6: Final answer
    x = 11,069.54

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