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Finding the Fourth Proportional to 12,198.92, 18,298.10 and 5,625.09

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Solution

The fourth proportional to 12,198.92, 18,298.10 and 5,625.09 is: 8,437.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.92 : 18,298.10 = 5,625.09 : x
  2. Step 2: Convert to fraction form
    12,198.92/18,298.10 = 5,625.09/x
  3. Step 3: Cross multiply
    12,198.92x = 18,298.10 × 5,625.09
  4. Step 4: Simplify right side
    12,198.92x = 102,928,431.20
  5. Step 5: Solve for x
    x = 102,928,431.20/12,198.92
  6. Step 6: Final answer
    x = 8,437.51

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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.