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Finding the Fourth Proportional to 12,198.96, 18,298.44 and 5,177.04

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Solution

The fourth proportional to 12,198.96, 18,298.44 and 5,177.04 is: 7,765.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.96 : 18,298.44 = 5,177.04 : x
  2. Step 2: Convert to fraction form
    12,198.96/18,298.44 = 5,177.04/x
  3. Step 3: Cross multiply
    12,198.96x = 18,298.44 × 5,177.04
  4. Step 4: Simplify right side
    12,198.96x = 94,731,755.82
  5. Step 5: Solve for x
    x = 94,731,755.82/12,198.96
  6. Step 6: Final answer
    x = 7,765.56

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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.