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Finding the Fourth Proportional to 17,072, 25,611.81 and 5,227.44

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Solution

The fourth proportional to 17,072, 25,611.81 and 5,227.44 is: 7,842.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,072 : 25,611.81 = 5,227.44 : x
  2. Step 2: Convert to fraction form
    17,072/25,611.81 = 5,227.44/x
  3. Step 3: Cross multiply
    17,072x = 25,611.81 × 5,227.44
  4. Step 4: Simplify right side
    17,072x = 133,884,072.01
  5. Step 5: Solve for x
    x = 133,884,072.01/17,072
  6. Step 6: Final answer
    x = 7,842.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.