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Finding the Fourth Proportional to 18,454.50, 27,692.82 and 6,768.90

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Solution

The fourth proportional to 18,454.50, 27,692.82 and 6,768.90 is: 10,157.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,454.50 : 27,692.82 = 6,768.90 : x
  2. Step 2: Convert to fraction form
    18,454.50/27,692.82 = 6,768.90/x
  3. Step 3: Cross multiply
    18,454.50x = 27,692.82 × 6,768.90
  4. Step 4: Simplify right side
    18,454.50x = 187,449,929.30
  5. Step 5: Solve for x
    x = 187,449,929.30/18,454.50
  6. Step 6: Final answer
    x = 10,157.41

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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.