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Finding the Fourth Proportional to 20,782.20, 31,202.10 and 16,404.60

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Solution

The fourth proportional to 20,782.20, 31,202.10 and 16,404.60 is: 24,629.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,782.20 : 31,202.10 = 16,404.60 : x
  2. Step 2: Convert to fraction form
    20,782.20/31,202.10 = 16,404.60/x
  3. Step 3: Cross multiply
    20,782.20x = 31,202.10 × 16,404.60
  4. Step 4: Simplify right side
    20,782.20x = 511,857,969.66
  5. Step 5: Solve for x
    x = 511,857,969.66/20,782.20
  6. Step 6: Final answer
    x = 24,629.63

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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.