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Finding the Fourth Proportional to 13,249.85, 18,283.03 and 8,212.23

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Solution

The fourth proportional to 13,249.85, 18,283.03 and 8,212.23 is: 11,331.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,249.85 : 18,283.03 = 8,212.23 : x
  2. Step 2: Convert to fraction form
    13,249.85/18,283.03 = 8,212.23/x
  3. Step 3: Cross multiply
    13,249.85x = 18,283.03 × 8,212.23
  4. Step 4: Simplify right side
    13,249.85x = 150,144,426.93
  5. Step 5: Solve for x
    x = 150,144,426.93/13,249.85
  6. Step 6: Final answer
    x = 11,331.79

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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.