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Finding the Fourth Proportional to 20,107.85, 30,157.81 and 6,779.54

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Solution

The fourth proportional to 20,107.85, 30,157.81 and 6,779.54 is: 10,167.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,107.85 : 30,157.81 = 6,779.54 : x
  2. Step 2: Convert to fraction form
    20,107.85/30,157.81 = 6,779.54/x
  3. Step 3: Cross multiply
    20,107.85x = 30,157.81 × 6,779.54
  4. Step 4: Simplify right side
    20,107.85x = 204,456,137.65
  5. Step 5: Solve for x
    x = 204,456,137.65/20,107.85
  6. Step 6: Final answer
    x = 10,167.98

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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.