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Finding the Fourth Proportional to 20,071.67, 27,698.94 and 10,996.83

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Solution

The fourth proportional to 20,071.67, 27,698.94 and 10,996.83 is: 15,175.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,071.67 : 27,698.94 = 10,996.83 : x
  2. Step 2: Convert to fraction form
    20,071.67/27,698.94 = 10,996.83/x
  3. Step 3: Cross multiply
    20,071.67x = 27,698.94 × 10,996.83
  4. Step 4: Simplify right side
    20,071.67x = 304,600,534.36
  5. Step 5: Solve for x
    x = 304,600,534.36/20,071.67
  6. Step 6: Final answer
    x = 15,175.64

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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.