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Finding the Fourth Proportional to 20,162.49, 27,822.66 and 11,209.45

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Solution

The fourth proportional to 20,162.49, 27,822.66 and 11,209.45 is: 15,468.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,162.49 : 27,822.66 = 11,209.45 : x
  2. Step 2: Convert to fraction form
    20,162.49/27,822.66 = 11,209.45/x
  3. Step 3: Cross multiply
    20,162.49x = 27,822.66 × 11,209.45
  4. Step 4: Simplify right side
    20,162.49x = 311,876,716.14
  5. Step 5: Solve for x
    x = 311,876,716.14/20,162.49
  6. Step 6: Final answer
    x = 15,468.16

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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.