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Finding the Fourth Proportional to 12,194.40, 18,295.44 and 7,269.60

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Solution

The fourth proportional to 12,194.40, 18,295.44 and 7,269.60 is: 10,906.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.40 : 18,295.44 = 7,269.60 : x
  2. Step 2: Convert to fraction form
    12,194.40/18,295.44 = 7,269.60/x
  3. Step 3: Cross multiply
    12,194.40x = 18,295.44 × 7,269.60
  4. Step 4: Simplify right side
    12,194.40x = 133,000,530.62
  5. Step 5: Solve for x
    x = 133,000,530.62/12,194.40
  6. Step 6: Final answer
    x = 10,906.69

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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.