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Finding the Fourth Proportional to 12,147.36, 18,221.69 and 3,828.02

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Solution

The fourth proportional to 12,147.36, 18,221.69 and 3,828.02 is: 5,742.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,147.36 : 18,221.69 = 3,828.02 : x
  2. Step 2: Convert to fraction form
    12,147.36/18,221.69 = 3,828.02/x
  3. Step 3: Cross multiply
    12,147.36x = 18,221.69 × 3,828.02
  4. Step 4: Simplify right side
    12,147.36x = 69,752,993.75
  5. Step 5: Solve for x
    x = 69,752,993.75/12,147.36
  6. Step 6: Final answer
    x = 5,742.23

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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.