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Finding the Fourth Proportional to 20,451, 30,676.56 and 6,219.60

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Solution

The fourth proportional to 20,451, 30,676.56 and 6,219.60 is: 9,329.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,451 : 30,676.56 = 6,219.60 : x
  2. Step 2: Convert to fraction form
    20,451/30,676.56 = 6,219.60/x
  3. Step 3: Cross multiply
    20,451x = 30,676.56 × 6,219.60
  4. Step 4: Simplify right side
    20,451x = 190,795,932.58
  5. Step 5: Solve for x
    x = 190,795,932.58/20,451
  6. Step 6: Final answer
    x = 9,329.42

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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.