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Finding the Fourth Proportional to 13,198.02, 18,212.49 and 7,228.50

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Solution

The fourth proportional to 13,198.02, 18,212.49 and 7,228.50 is: 9,974.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.02 : 18,212.49 = 7,228.50 : x
  2. Step 2: Convert to fraction form
    13,198.02/18,212.49 = 7,228.50/x
  3. Step 3: Cross multiply
    13,198.02x = 18,212.49 × 7,228.50
  4. Step 4: Simplify right side
    13,198.02x = 131,648,983.97
  5. Step 5: Solve for x
    x = 131,648,983.97/13,198.02
  6. Step 6: Final answer
    x = 9,974.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.