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Finding the Fourth Proportional to 17,071.75, 23,561.04 and 9,519.31

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Solution

The fourth proportional to 17,071.75, 23,561.04 and 9,519.31 is: 13,137.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,071.75 : 23,561.04 = 9,519.31 : x
  2. Step 2: Convert to fraction form
    17,071.75/23,561.04 = 9,519.31/x
  3. Step 3: Cross multiply
    17,071.75x = 23,561.04 × 9,519.31
  4. Step 4: Simplify right side
    17,071.75x = 224,284,843.68
  5. Step 5: Solve for x
    x = 224,284,843.68/17,071.75
  6. Step 6: Final answer
    x = 13,137.78

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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.