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Finding the Fourth Proportional to 13,198.14, 18,212.76 and 7,228.66

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Solution

The fourth proportional to 13,198.14, 18,212.76 and 7,228.66 is: 9,975.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.14 : 18,212.76 = 7,228.66 : x
  2. Step 2: Convert to fraction form
    13,198.14/18,212.76 = 7,228.66/x
  3. Step 3: Cross multiply
    13,198.14x = 18,212.76 × 7,228.66
  4. Step 4: Simplify right side
    13,198.14x = 131,653,849.70
  5. Step 5: Solve for x
    x = 131,653,849.70/13,198.14
  6. Step 6: Final answer
    x = 9,975.18

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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.