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Finding the Fourth Proportional to 12,183.86, 18,276.44 and 3,864.51

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Solution

The fourth proportional to 12,183.86, 18,276.44 and 3,864.51 is: 5,796.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,183.86 : 18,276.44 = 3,864.51 : x
  2. Step 2: Convert to fraction form
    12,183.86/18,276.44 = 3,864.51/x
  3. Step 3: Cross multiply
    12,183.86x = 18,276.44 × 3,864.51
  4. Step 4: Simplify right side
    12,183.86x = 70,629,479.21
  5. Step 5: Solve for x
    x = 70,629,479.21/12,183.86
  6. Step 6: Final answer
    x = 5,796.97

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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.