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Finding the Fourth Proportional to 16,843.96, 25,266 and 5,157.13

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Solution

The fourth proportional to 16,843.96, 25,266 and 5,157.13 is: 7,735.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,843.96 : 25,266 = 5,157.13 : x
  2. Step 2: Convert to fraction form
    16,843.96/25,266 = 5,157.13/x
  3. Step 3: Cross multiply
    16,843.96x = 25,266 × 5,157.13
  4. Step 4: Simplify right side
    16,843.96x = 130,300,046.58
  5. Step 5: Solve for x
    x = 130,300,046.58/16,843.96
  6. Step 6: Final answer
    x = 7,735.71

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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.