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Finding the Fourth Proportional to 12,164.46, 18,249.42 and 3,844.96

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Solution

The fourth proportional to 12,164.46, 18,249.42 and 3,844.96 is: 5,768.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164.46 : 18,249.42 = 3,844.96 : x
  2. Step 2: Convert to fraction form
    12,164.46/18,249.42 = 3,844.96/x
  3. Step 3: Cross multiply
    12,164.46x = 18,249.42 × 3,844.96
  4. Step 4: Simplify right side
    12,164.46x = 70,168,289.92
  5. Step 5: Solve for x
    x = 70,168,289.92/12,164.46
  6. Step 6: Final answer
    x = 5,768.30

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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.