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Finding the Fourth Proportional to 17,910.82, 26,857 and 8,041.66

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Solution

The fourth proportional to 17,910.82, 26,857 and 8,041.66 is: 12,058.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,910.82 : 26,857 = 8,041.66 : x
  2. Step 2: Convert to fraction form
    17,910.82/26,857 = 8,041.66/x
  3. Step 3: Cross multiply
    17,910.82x = 26,857 × 8,041.66
  4. Step 4: Simplify right side
    17,910.82x = 215,974,862.62
  5. Step 5: Solve for x
    x = 215,974,862.62/17,910.82
  6. Step 6: Final answer
    x = 12,058.35

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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.