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Finding the Fourth Proportional to 18,234.06, 27,350.97 and 5,086.50

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Solution

The fourth proportional to 18,234.06, 27,350.97 and 5,086.50 is: 7,629.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,234.06 : 27,350.97 = 5,086.50 : x
  2. Step 2: Convert to fraction form
    18,234.06/27,350.97 = 5,086.50/x
  3. Step 3: Cross multiply
    18,234.06x = 27,350.97 × 5,086.50
  4. Step 4: Simplify right side
    18,234.06x = 139,120,708.91
  5. Step 5: Solve for x
    x = 139,120,708.91/18,234.06
  6. Step 6: Final answer
    x = 7,629.72

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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.