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Finding the Fourth Proportional to 20,178.80, 27,846.66 and 11,227.16

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Solution

The fourth proportional to 20,178.80, 27,846.66 and 11,227.16 is: 15,493.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,178.80 : 27,846.66 = 11,227.16 : x
  2. Step 2: Convert to fraction form
    20,178.80/27,846.66 = 11,227.16/x
  3. Step 3: Cross multiply
    20,178.80x = 27,846.66 × 11,227.16
  4. Step 4: Simplify right side
    20,178.80x = 312,638,907.29
  5. Step 5: Solve for x
    x = 312,638,907.29/20,178.80
  6. Step 6: Final answer
    x = 15,493.43

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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.