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Finding the Fourth Proportional to 28,142.75, 38,833.62 and 16,209.97

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Solution

The fourth proportional to 28,142.75, 38,833.62 and 16,209.97 is: 22,367.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,142.75 : 38,833.62 = 16,209.97 : x
  2. Step 2: Convert to fraction form
    28,142.75/38,833.62 = 16,209.97/x
  3. Step 3: Cross multiply
    28,142.75x = 38,833.62 × 16,209.97
  4. Step 4: Simplify right side
    28,142.75x = 629,491,621.02
  5. Step 5: Solve for x
    x = 629,491,621.02/28,142.75
  6. Step 6: Final answer
    x = 22,367.81

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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.