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Finding the Fourth Proportional to 20,072.26, 27,698.65 and 11,119.06

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Solution

The fourth proportional to 20,072.26, 27,698.65 and 11,119.06 is: 15,343.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,072.26 : 27,698.65 = 11,119.06 : x
  2. Step 2: Convert to fraction form
    20,072.26/27,698.65 = 11,119.06/x
  3. Step 3: Cross multiply
    20,072.26x = 27,698.65 × 11,119.06
  4. Step 4: Simplify right side
    20,072.26x = 307,982,951.27
  5. Step 5: Solve for x
    x = 307,982,951.27/20,072.26
  6. Step 6: Final answer
    x = 15,343.71

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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.