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Finding the Fourth Proportional to 12,183.41, 18,275.24 and 3,863.50

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Solution

The fourth proportional to 12,183.41, 18,275.24 and 3,863.50 is: 5,795.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,183.41 : 18,275.24 = 3,863.50 : x
  2. Step 2: Convert to fraction form
    12,183.41/18,275.24 = 3,863.50/x
  3. Step 3: Cross multiply
    12,183.41x = 18,275.24 × 3,863.50
  4. Step 4: Simplify right side
    12,183.41x = 70,606,353.71
  5. Step 5: Solve for x
    x = 70,606,353.71/12,183.41
  6. Step 6: Final answer
    x = 5,795.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.