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Finding the Fourth Proportional to 20,255.87, 30,383.84 and 5,464.80

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Solution

The fourth proportional to 20,255.87, 30,383.84 and 5,464.80 is: 8,197.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,255.87 : 30,383.84 = 5,464.80 : x
  2. Step 2: Convert to fraction form
    20,255.87/30,383.84 = 5,464.80/x
  3. Step 3: Cross multiply
    20,255.87x = 30,383.84 × 5,464.80
  4. Step 4: Simplify right side
    20,255.87x = 166,041,581.51
  5. Step 5: Solve for x
    x = 166,041,581.51/20,255.87
  6. Step 6: Final answer
    x = 8,197.21

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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.