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Finding the Fourth Proportional to 20,161.94, 27,822.84 and 11,209.28

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Solution

The fourth proportional to 20,161.94, 27,822.84 and 11,209.28 is: 15,468.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,161.94 : 27,822.84 = 11,209.28 : x
  2. Step 2: Convert to fraction form
    20,161.94/27,822.84 = 11,209.28/x
  3. Step 3: Cross multiply
    20,161.94x = 27,822.84 × 11,209.28
  4. Step 4: Simplify right side
    20,161.94x = 311,874,003.96
  5. Step 5: Solve for x
    x = 311,874,003.96/20,161.94
  6. Step 6: Final answer
    x = 15,468.45

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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.