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Finding the Fourth Proportional to 20,162.69, 27,824.16 and 11,209.04

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Solution

The fourth proportional to 20,162.69, 27,824.16 and 11,209.04 is: 15,468.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,162.69 : 27,824.16 = 11,209.04 : x
  2. Step 2: Convert to fraction form
    20,162.69/27,824.16 = 11,209.04/x
  3. Step 3: Cross multiply
    20,162.69x = 27,824.16 × 11,209.04
  4. Step 4: Simplify right side
    20,162.69x = 311,882,122.41
  5. Step 5: Solve for x
    x = 311,882,122.41/20,162.69
  6. Step 6: Final answer
    x = 15,468.28

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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.