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Finding the Fourth Proportional to 12,198.17, 18,296.97 and 5,624.34

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Solution

The fourth proportional to 12,198.17, 18,296.97 and 5,624.34 is: 8,436.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.17 : 18,296.97 = 5,624.34 : x
  2. Step 2: Convert to fraction form
    12,198.17/18,296.97 = 5,624.34/x
  3. Step 3: Cross multiply
    12,198.17x = 18,296.97 × 5,624.34
  4. Step 4: Simplify right side
    12,198.17x = 102,908,380.25
  5. Step 5: Solve for x
    x = 102,908,380.25/12,198.17
  6. Step 6: Final answer
    x = 8,436.38

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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.