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Finding the Fourth Proportional to 27,692.37, 38,203.92 and 17,626.32

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Solution

The fourth proportional to 27,692.37, 38,203.92 and 17,626.32 is: 24,316.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,692.37 : 38,203.92 = 17,626.32 : x
  2. Step 2: Convert to fraction form
    27,692.37/38,203.92 = 17,626.32/x
  3. Step 3: Cross multiply
    27,692.37x = 38,203.92 × 17,626.32
  4. Step 4: Simplify right side
    27,692.37x = 673,394,519.17
  5. Step 5: Solve for x
    x = 673,394,519.17/27,692.37
  6. Step 6: Final answer
    x = 24,316.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.