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Finding the Fourth Proportional to 17,757.88, 26,650.14 and 6,675.48

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Solution

The fourth proportional to 17,757.88, 26,650.14 and 6,675.48 is: 10,018.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,757.88 : 26,650.14 = 6,675.48 : x
  2. Step 2: Convert to fraction form
    17,757.88/26,650.14 = 6,675.48/x
  3. Step 3: Cross multiply
    17,757.88x = 26,650.14 × 6,675.48
  4. Step 4: Simplify right side
    17,757.88x = 177,902,476.57
  5. Step 5: Solve for x
    x = 177,902,476.57/17,757.88
  6. Step 6: Final answer
    x = 10,018.23

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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.