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Finding the Fourth Proportional to 20,234.49, 27,923.63 and 11,738.22

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Solution

The fourth proportional to 20,234.49, 27,923.63 and 11,738.22 is: 16,198.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,234.49 : 27,923.63 = 11,738.22 : x
  2. Step 2: Convert to fraction form
    20,234.49/27,923.63 = 11,738.22/x
  3. Step 3: Cross multiply
    20,234.49x = 27,923.63 × 11,738.22
  4. Step 4: Simplify right side
    20,234.49x = 327,773,653.45
  5. Step 5: Solve for x
    x = 327,773,653.45/20,234.49
  6. Step 6: Final answer
    x = 16,198.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.