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Finding the Fourth Proportional to 12,190.34, 18,286.14 and 3,871.01

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Solution

The fourth proportional to 12,190.34, 18,286.14 and 3,871.01 is: 5,806.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,190.34 : 18,286.14 = 3,871.01 : x
  2. Step 2: Convert to fraction form
    12,190.34/18,286.14 = 3,871.01/x
  3. Step 3: Cross multiply
    12,190.34x = 18,286.14 × 3,871.01
  4. Step 4: Simplify right side
    12,190.34x = 70,785,739.37
  5. Step 5: Solve for x
    x = 70,785,739.37/12,190.34
  6. Step 6: Final answer
    x = 5,806.71

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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.