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Finding the Fourth Proportional to 20,170, 30,255 and 5,578

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Solution

The fourth proportional to 20,170, 30,255 and 5,578 is: 8,367

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,170 : 30,255 = 5,578 : x
  2. Step 2: Convert to fraction form
    20,170/30,255 = 5,578/x
  3. Step 3: Cross multiply
    20,170x = 30,255 × 5,578
  4. Step 4: Simplify right side
    20,170x = 168,762,390
  5. Step 5: Solve for x
    x = 168,762,390/20,170
  6. Step 6: Final answer
    x = 8,367

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