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Finding the Fourth Proportional to 20,234.26, 27,923.70 and 11,282.14

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Solution

The fourth proportional to 20,234.26, 27,923.70 and 11,282.14 is: 15,569.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,234.26 : 27,923.70 = 11,282.14 : x
  2. Step 2: Convert to fraction form
    20,234.26/27,923.70 = 11,282.14/x
  3. Step 3: Cross multiply
    20,234.26x = 27,923.70 × 11,282.14
  4. Step 4: Simplify right side
    20,234.26x = 315,039,092.72
  5. Step 5: Solve for x
    x = 315,039,092.72/20,234.26
  6. Step 6: Final answer
    x = 15,569.59

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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.