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Finding the Fourth Proportional to 12,105.14, 18,161.22 and 4,314.56

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Solution

The fourth proportional to 12,105.14, 18,161.22 and 4,314.56 is: 6,473.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,105.14 : 18,161.22 = 4,314.56 : x
  2. Step 2: Convert to fraction form
    12,105.14/18,161.22 = 4,314.56/x
  3. Step 3: Cross multiply
    12,105.14x = 18,161.22 × 4,314.56
  4. Step 4: Simplify right side
    12,105.14x = 78,357,673.36
  5. Step 5: Solve for x
    x = 78,357,673.36/12,105.14
  6. Step 6: Final answer
    x = 6,473.09

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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.