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Finding the Fourth Proportional to 20,178.56, 27,846.78 and 11,226.90

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Solution

The fourth proportional to 20,178.56, 27,846.78 and 11,226.90 is: 15,493.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,178.56 : 27,846.78 = 11,226.90 : x
  2. Step 2: Convert to fraction form
    20,178.56/27,846.78 = 11,226.90/x
  3. Step 3: Cross multiply
    20,178.56x = 27,846.78 × 11,226.90
  4. Step 4: Simplify right side
    20,178.56x = 312,632,952.06
  5. Step 5: Solve for x
    x = 312,632,952.06/20,178.56
  6. Step 6: Final answer
    x = 15,493.32

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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.