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Finding the Fourth Proportional to 20,204.25, 27,881.87 and 11,822.37

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Solution

The fourth proportional to 20,204.25, 27,881.87 and 11,822.37 is: 16,314.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,204.25 : 27,881.87 = 11,822.37 : x
  2. Step 2: Convert to fraction form
    20,204.25/27,881.87 = 11,822.37/x
  3. Step 3: Cross multiply
    20,204.25x = 27,881.87 × 11,822.37
  4. Step 4: Simplify right side
    20,204.25x = 329,629,724.32
  5. Step 5: Solve for x
    x = 329,629,724.32/20,204.25
  6. Step 6: Final answer
    x = 16,314.87

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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.