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Finding the Fourth Proportional to 16,851.56, 25,280.31 and 5,755.65

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Solution

The fourth proportional to 16,851.56, 25,280.31 and 5,755.65 is: 8,634.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,851.56 : 25,280.31 = 5,755.65 : x
  2. Step 2: Convert to fraction form
    16,851.56/25,280.31 = 5,755.65/x
  3. Step 3: Cross multiply
    16,851.56x = 25,280.31 × 5,755.65
  4. Step 4: Simplify right side
    16,851.56x = 145,504,616.25
  5. Step 5: Solve for x
    x = 145,504,616.25/16,851.56
  6. Step 6: Final answer
    x = 8,634.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.