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Finding the Fourth Proportional to 20,111.88, 30,170.64 and 6,780.90

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Solution

The fourth proportional to 20,111.88, 30,170.64 and 6,780.90 is: 10,172.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,111.88 : 30,170.64 = 6,780.90 : x
  2. Step 2: Convert to fraction form
    20,111.88/30,170.64 = 6,780.90/x
  3. Step 3: Cross multiply
    20,111.88x = 30,170.64 × 6,780.90
  4. Step 4: Simplify right side
    20,111.88x = 204,584,092.78
  5. Step 5: Solve for x
    x = 204,584,092.78/20,111.88
  6. Step 6: Final answer
    x = 10,172.30

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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.