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Finding the Fourth Proportional to 17,193.44, 25,770.48 and 7,940

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Solution

The fourth proportional to 17,193.44, 25,770.48 and 7,940 is: 11,900.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,193.44 : 25,770.48 = 7,940 : x
  2. Step 2: Convert to fraction form
    17,193.44/25,770.48 = 7,940/x
  3. Step 3: Cross multiply
    17,193.44x = 25,770.48 × 7,940
  4. Step 4: Simplify right side
    17,193.44x = 204,617,611.20
  5. Step 5: Solve for x
    x = 204,617,611.20/17,193.44
  6. Step 6: Final answer
    x = 11,900.91

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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.