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Finding the Fourth Proportional to 19,692.43, 29,540.49 and 7,843.35

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Solution

The fourth proportional to 19,692.43, 29,540.49 and 7,843.35 is: 11,765.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,692.43 : 29,540.49 = 7,843.35 : x
  2. Step 2: Convert to fraction form
    19,692.43/29,540.49 = 7,843.35/x
  3. Step 3: Cross multiply
    19,692.43x = 29,540.49 × 7,843.35
  4. Step 4: Simplify right side
    19,692.43x = 231,696,262.05
  5. Step 5: Solve for x
    x = 231,696,262.05/19,692.43
  6. Step 6: Final answer
    x = 11,765.75

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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.