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Finding the Fourth Proportional to 24,452, 33,743.76 and 16,083.44

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Solution

The fourth proportional to 24,452, 33,743.76 and 16,083.44 is: 22,195.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,452 : 33,743.76 = 16,083.44 : x
  2. Step 2: Convert to fraction form
    24,452/33,743.76 = 16,083.44/x
  3. Step 3: Cross multiply
    24,452x = 33,743.76 × 16,083.44
  4. Step 4: Simplify right side
    24,452x = 542,715,739.33
  5. Step 5: Solve for x
    x = 542,715,739.33/24,452
  6. Step 6: Final answer
    x = 22,195.15

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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.