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Finding the Fourth Proportional to 18,233.56, 27,350.22 and 5,086

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Solution

The fourth proportional to 18,233.56, 27,350.22 and 5,086 is: 7,628.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,233.56 : 27,350.22 = 5,086 : x
  2. Step 2: Convert to fraction form
    18,233.56/27,350.22 = 5,086/x
  3. Step 3: Cross multiply
    18,233.56x = 27,350.22 × 5,086
  4. Step 4: Simplify right side
    18,233.56x = 139,103,218.92
  5. Step 5: Solve for x
    x = 139,103,218.92/18,233.56
  6. Step 6: Final answer
    x = 7,628.97

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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.