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Finding the Fourth Proportional to 20,441.85, 30,658.89 and 6,399.75

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Solution

The fourth proportional to 20,441.85, 30,658.89 and 6,399.75 is: 9,598.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,441.85 : 30,658.89 = 6,399.75 : x
  2. Step 2: Convert to fraction form
    20,441.85/30,658.89 = 6,399.75/x
  3. Step 3: Cross multiply
    20,441.85x = 30,658.89 × 6,399.75
  4. Step 4: Simplify right side
    20,441.85x = 196,209,231.28
  5. Step 5: Solve for x
    x = 196,209,231.28/20,441.85
  6. Step 6: Final answer
    x = 9,598.41

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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.