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Finding the Fourth Proportional to 13,199.14, 18,214.14 and 7,229.66

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Solution

The fourth proportional to 13,199.14, 18,214.14 and 7,229.66 is: 9,976.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,199.14 : 18,214.14 = 7,229.66 : x
  2. Step 2: Convert to fraction form
    13,199.14/18,214.14 = 7,229.66/x
  3. Step 3: Cross multiply
    13,199.14x = 18,214.14 × 7,229.66
  4. Step 4: Simplify right side
    13,199.14x = 131,682,039.39
  5. Step 5: Solve for x
    x = 131,682,039.39/13,199.14
  6. Step 6: Final answer
    x = 9,976.56

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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.