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Finding the Fourth Proportional to 20,222.00, 27,906.38 and 11,269.30

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Solution

The fourth proportional to 20,222.00, 27,906.38 and 11,269.30 is: 15,551.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,222.00 : 27,906.38 = 11,269.30 : x
  2. Step 2: Convert to fraction form
    20,222.00/27,906.38 = 11,269.30/x
  3. Step 3: Cross multiply
    20,222.00x = 27,906.38 × 11,269.30
  4. Step 4: Simplify right side
    20,222.00x = 314,485,172.26
  5. Step 5: Solve for x
    x = 314,485,172.26/20,222.00
  6. Step 6: Final answer
    x = 15,551.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.