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Finding the Fourth Proportional to 20,238.84, 27,928.86 and 11,286.20

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Solution

The fourth proportional to 20,238.84, 27,928.86 and 11,286.20 is: 15,574.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,238.84 : 27,928.86 = 11,286.20 : x
  2. Step 2: Convert to fraction form
    20,238.84/27,928.86 = 11,286.20/x
  3. Step 3: Cross multiply
    20,238.84x = 27,928.86 × 11,286.20
  4. Step 4: Simplify right side
    20,238.84x = 315,210,699.73
  5. Step 5: Solve for x
    x = 315,210,699.73/20,238.84
  6. Step 6: Final answer
    x = 15,574.54

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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.