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Finding the Fourth Proportional to 17,428.26, 26,127.78 and 12,147.78

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Solution

The fourth proportional to 17,428.26, 26,127.78 and 12,147.78 is: 18,211.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,428.26 : 26,127.78 = 12,147.78 : x
  2. Step 2: Convert to fraction form
    17,428.26/26,127.78 = 12,147.78/x
  3. Step 3: Cross multiply
    17,428.26x = 26,127.78 × 12,147.78
  4. Step 4: Simplify right side
    17,428.26x = 317,394,523.33
  5. Step 5: Solve for x
    x = 317,394,523.33/17,428.26
  6. Step 6: Final answer
    x = 18,211.49

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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.