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Finding the Fourth Proportional to 17,827.20, 26,692.20 and 13,906.80

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Solution

The fourth proportional to 17,827.20, 26,692.20 and 13,906.80 is: 20,822.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,827.20 : 26,692.20 = 13,906.80 : x
  2. Step 2: Convert to fraction form
    17,827.20/26,692.20 = 13,906.80/x
  3. Step 3: Cross multiply
    17,827.20x = 26,692.20 × 13,906.80
  4. Step 4: Simplify right side
    17,827.20x = 371,203,086.96
  5. Step 5: Solve for x
    x = 371,203,086.96/17,827.20
  6. Step 6: Final answer
    x = 20,822.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.