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Finding the Fourth Proportional to 12,205.20, 18,286.20 and 11,427.60

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Solution

The fourth proportional to 12,205.20, 18,286.20 and 11,427.60 is: 17,121.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.20 : 18,286.20 = 11,427.60 : x
  2. Step 2: Convert to fraction form
    12,205.20/18,286.20 = 11,427.60/x
  3. Step 3: Cross multiply
    12,205.20x = 18,286.20 × 11,427.60
  4. Step 4: Simplify right side
    12,205.20x = 208,967,379.12
  5. Step 5: Solve for x
    x = 208,967,379.12/12,205.20
  6. Step 6: Final answer
    x = 17,121.18

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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.