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Finding the Fourth Proportional to 20,186.82, 27,857.81 and 11,354.82

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Solution

The fourth proportional to 20,186.82, 27,857.81 and 11,354.82 is: 15,669.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,186.82 : 27,857.81 = 11,354.82 : x
  2. Step 2: Convert to fraction form
    20,186.82/27,857.81 = 11,354.82/x
  3. Step 3: Cross multiply
    20,186.82x = 27,857.81 × 11,354.82
  4. Step 4: Simplify right side
    20,186.82x = 316,320,418.14
  5. Step 5: Solve for x
    x = 316,320,418.14/20,186.82
  6. Step 6: Final answer
    x = 15,669.65

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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.