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Finding the Fourth Proportional to 12,190.68, 18,287.28 and 3,871.44

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Solution

The fourth proportional to 12,190.68, 18,287.28 and 3,871.44 is: 5,807.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,190.68 : 18,287.28 = 3,871.44 : x
  2. Step 2: Convert to fraction form
    12,190.68/18,287.28 = 3,871.44/x
  3. Step 3: Cross multiply
    12,190.68x = 18,287.28 × 3,871.44
  4. Step 4: Simplify right side
    12,190.68x = 70,798,107.28
  5. Step 5: Solve for x
    x = 70,798,107.28/12,190.68
  6. Step 6: Final answer
    x = 5,807.56

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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.