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Finding the Fourth Proportional to 22,839.40, 34,259.10 and 9,692.20

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Solution

The fourth proportional to 22,839.40, 34,259.10 and 9,692.20 is: 14,538.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,839.40 : 34,259.10 = 9,692.20 : x
  2. Step 2: Convert to fraction form
    22,839.40/34,259.10 = 9,692.20/x
  3. Step 3: Cross multiply
    22,839.40x = 34,259.10 × 9,692.20
  4. Step 4: Simplify right side
    22,839.40x = 332,046,049.02
  5. Step 5: Solve for x
    x = 332,046,049.02/22,839.40
  6. Step 6: Final answer
    x = 14,538.30

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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.