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Finding the Fourth Proportional to 29,942.68, 41,321.16 and 16,514.44

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Solution

The fourth proportional to 29,942.68, 41,321.16 and 16,514.44 is: 22,790.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,942.68 : 41,321.16 = 16,514.44 : x
  2. Step 2: Convert to fraction form
    29,942.68/41,321.16 = 16,514.44/x
  3. Step 3: Cross multiply
    29,942.68x = 41,321.16 × 16,514.44
  4. Step 4: Simplify right side
    29,942.68x = 682,395,817.55
  5. Step 5: Solve for x
    x = 682,395,817.55/29,942.68
  6. Step 6: Final answer
    x = 22,790.07

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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.