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Finding the Fourth Proportional to 20,241, 27,936.36 and 11,857.50

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Solution

The fourth proportional to 20,241, 27,936.36 and 11,857.50 is: 16,365.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,241 : 27,936.36 = 11,857.50 : x
  2. Step 2: Convert to fraction form
    20,241/27,936.36 = 11,857.50/x
  3. Step 3: Cross multiply
    20,241x = 27,936.36 × 11,857.50
  4. Step 4: Simplify right side
    20,241x = 331,255,388.70
  5. Step 5: Solve for x
    x = 331,255,388.70/20,241
  6. Step 6: Final answer
    x = 16,365.56

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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.