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Finding the Fourth Proportional to 20,163.28, 27,824.76 and 11,210.14

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Solution

The fourth proportional to 20,163.28, 27,824.76 and 11,210.14 is: 15,469.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,163.28 : 27,824.76 = 11,210.14 : x
  2. Step 2: Convert to fraction form
    20,163.28/27,824.76 = 11,210.14/x
  3. Step 3: Cross multiply
    20,163.28x = 27,824.76 × 11,210.14
  4. Step 4: Simplify right side
    20,163.28x = 311,919,455.07
  5. Step 5: Solve for x
    x = 311,919,455.07/20,163.28
  6. Step 6: Final answer
    x = 15,469.68

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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.