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Finding the Fourth Proportional to 12,202.56, 18,186.48 and 12,183.12

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Solution

The fourth proportional to 12,202.56, 18,186.48 and 12,183.12 is: 18,157.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.56 : 18,186.48 = 12,183.12 : x
  2. Step 2: Convert to fraction form
    12,202.56/18,186.48 = 12,183.12/x
  3. Step 3: Cross multiply
    12,202.56x = 18,186.48 × 12,183.12
  4. Step 4: Simplify right side
    12,202.56x = 221,568,068.22
  5. Step 5: Solve for x
    x = 221,568,068.22/12,202.56
  6. Step 6: Final answer
    x = 18,157.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.