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Finding the Fourth Proportional to 12,194.26, 18,301.81 and 8,692.84

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Solution

The fourth proportional to 12,194.26, 18,301.81 and 8,692.84 is: 13,046.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.26 : 18,301.81 = 8,692.84 : x
  2. Step 2: Convert to fraction form
    12,194.26/18,301.81 = 8,692.84/x
  3. Step 3: Cross multiply
    12,194.26x = 18,301.81 × 8,692.84
  4. Step 4: Simplify right side
    12,194.26x = 159,094,662.14
  5. Step 5: Solve for x
    x = 159,094,662.14/12,194.26
  6. Step 6: Final answer
    x = 13,046.68

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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.