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Finding the Fourth Proportional to 12,195.72, 18,296.16 and 4,297.92

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Solution

The fourth proportional to 12,195.72, 18,296.16 and 4,297.92 is: 6,447.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,195.72 : 18,296.16 = 4,297.92 : x
  2. Step 2: Convert to fraction form
    12,195.72/18,296.16 = 4,297.92/x
  3. Step 3: Cross multiply
    12,195.72x = 18,296.16 × 4,297.92
  4. Step 4: Simplify right side
    12,195.72x = 78,635,431.99
  5. Step 5: Solve for x
    x = 78,635,431.99/12,195.72
  6. Step 6: Final answer
    x = 6,447.79

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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.