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Finding the Fourth Proportional to 20,404.20, 30,563.10 and 13,405.80

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Solution

The fourth proportional to 20,404.20, 30,563.10 and 13,405.80 is: 20,080.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,404.20 : 30,563.10 = 13,405.80 : x
  2. Step 2: Convert to fraction form
    20,404.20/30,563.10 = 13,405.80/x
  3. Step 3: Cross multiply
    20,404.20x = 30,563.10 × 13,405.80
  4. Step 4: Simplify right side
    20,404.20x = 409,722,805.98
  5. Step 5: Solve for x
    x = 409,722,805.98/20,404.20
  6. Step 6: Final answer
    x = 20,080.32

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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.