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Finding the Fourth Proportional to 12,093, 16,691.22 and 7,381.23

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Solution

The fourth proportional to 12,093, 16,691.22 and 7,381.23 is: 10,187.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,093 : 16,691.22 = 7,381.23 : x
  2. Step 2: Convert to fraction form
    12,093/16,691.22 = 7,381.23/x
  3. Step 3: Cross multiply
    12,093x = 16,691.22 × 7,381.23
  4. Step 4: Simplify right side
    12,093x = 123,201,733.80
  5. Step 5: Solve for x
    x = 123,201,733.80/12,093
  6. Step 6: Final answer
    x = 10,187.86

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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.