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Finding the Fourth Proportional to 12,122, 18,183.03 and 3,914

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Solution

The fourth proportional to 12,122, 18,183.03 and 3,914 is: 5,871.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,122 : 18,183.03 = 3,914 : x
  2. Step 2: Convert to fraction form
    12,122/18,183.03 = 3,914/x
  3. Step 3: Cross multiply
    12,122x = 18,183.03 × 3,914
  4. Step 4: Simplify right side
    12,122x = 71,168,379.42
  5. Step 5: Solve for x
    x = 71,168,379.42/12,122
  6. Step 6: Final answer
    x = 5,871.01

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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.