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Finding the Fourth Proportional to 17,269.44, 25,843.68 and 12,876

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Solution

The fourth proportional to 17,269.44, 25,843.68 and 12,876 is: 19,268.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,269.44 : 25,843.68 = 12,876 : x
  2. Step 2: Convert to fraction form
    17,269.44/25,843.68 = 12,876/x
  3. Step 3: Cross multiply
    17,269.44x = 25,843.68 × 12,876
  4. Step 4: Simplify right side
    17,269.44x = 332,763,223.68
  5. Step 5: Solve for x
    x = 332,763,223.68/17,269.44
  6. Step 6: Final answer
    x = 19,268.91

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Why These Related Problems?

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