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Finding the Fourth Proportional to 12,202.13, 18,286.79 and 4,804.61

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Solution

The fourth proportional to 12,202.13, 18,286.79 and 4,804.61 is: 7,200.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.13 : 18,286.79 = 4,804.61 : x
  2. Step 2: Convert to fraction form
    12,202.13/18,286.79 = 4,804.61/x
  3. Step 3: Cross multiply
    12,202.13x = 18,286.79 × 4,804.61
  4. Step 4: Simplify right side
    12,202.13x = 87,860,778.64
  5. Step 5: Solve for x
    x = 87,860,778.64/12,202.13
  6. Step 6: Final answer
    x = 7,200.44

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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.