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Finding the Fourth Proportional to 20,138.94, 27,791.73 and 11,755.44

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Solution

The fourth proportional to 20,138.94, 27,791.73 and 11,755.44 is: 16,222.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138.94 : 27,791.73 = 11,755.44 : x
  2. Step 2: Convert to fraction form
    20,138.94/27,791.73 = 11,755.44/x
  3. Step 3: Cross multiply
    20,138.94x = 27,791.73 × 11,755.44
  4. Step 4: Simplify right side
    20,138.94x = 326,704,014.51
  5. Step 5: Solve for x
    x = 326,704,014.51/20,138.94
  6. Step 6: Final answer
    x = 16,222.50

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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.