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Finding the Fourth Proportional to 20,388.80, 30,544.20 and 13,782.56

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Solution

The fourth proportional to 20,388.80, 30,544.20 and 13,782.56 is: 20,647.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,388.80 : 30,544.20 = 13,782.56 : x
  2. Step 2: Convert to fraction form
    20,388.80/30,544.20 = 13,782.56/x
  3. Step 3: Cross multiply
    20,388.80x = 30,544.20 × 13,782.56
  4. Step 4: Simplify right side
    20,388.80x = 420,977,269.15
  5. Step 5: Solve for x
    x = 420,977,269.15/20,388.80
  6. Step 6: Final answer
    x = 20,647.48

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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.