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Finding the Fourth Proportional to 16,167.42, 22,310.82 and 9,093.85

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Solution

The fourth proportional to 16,167.42, 22,310.82 and 9,093.85 is: 12,549.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,167.42 : 22,310.82 = 9,093.85 : x
  2. Step 2: Convert to fraction form
    16,167.42/22,310.82 = 9,093.85/x
  3. Step 3: Cross multiply
    16,167.42x = 22,310.82 × 9,093.85
  4. Step 4: Simplify right side
    16,167.42x = 202,891,194.68
  5. Step 5: Solve for x
    x = 202,891,194.68/16,167.42
  6. Step 6: Final answer
    x = 12,549.39

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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.