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Finding the Fourth Proportional to 17,097, 25,647.54 and 5,249.21

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Solution

The fourth proportional to 17,097, 25,647.54 and 5,249.21 is: 7,874.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,097 : 25,647.54 = 5,249.21 : x
  2. Step 2: Convert to fraction form
    17,097/25,647.54 = 5,249.21/x
  3. Step 3: Cross multiply
    17,097x = 25,647.54 × 5,249.21
  4. Step 4: Simplify right side
    17,097x = 134,629,195.21
  5. Step 5: Solve for x
    x = 134,629,195.21/17,097
  6. Step 6: Final answer
    x = 7,874.43

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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.