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Finding the Fourth Proportional to 12,093.49, 18,101.36 and 8,176.33

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Solution

The fourth proportional to 12,093.49, 18,101.36 and 8,176.33 is: 12,238.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,093.49 : 18,101.36 = 8,176.33 : x
  2. Step 2: Convert to fraction form
    12,093.49/18,101.36 = 8,176.33/x
  3. Step 3: Cross multiply
    12,093.49x = 18,101.36 × 8,176.33
  4. Step 4: Simplify right side
    12,093.49x = 148,002,651.93
  5. Step 5: Solve for x
    x = 148,002,651.93/12,093.49
  6. Step 6: Final answer
    x = 12,238.21

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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.