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Finding the Fourth Proportional to 17,093, 25,640.46 and 4,781.96

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Solution

The fourth proportional to 17,093, 25,640.46 and 4,781.96 is: 7,173.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,093 : 25,640.46 = 4,781.96 : x
  2. Step 2: Convert to fraction form
    17,093/25,640.46 = 4,781.96/x
  3. Step 3: Cross multiply
    17,093x = 25,640.46 × 4,781.96
  4. Step 4: Simplify right side
    17,093x = 122,611,654.10
  5. Step 5: Solve for x
    x = 122,611,654.10/17,093
  6. Step 6: Final answer
    x = 7,173.21

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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.