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Finding the Fourth Proportional to 16,057.85, 24,086.97 and 5,662.31

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Solution

The fourth proportional to 16,057.85, 24,086.97 and 5,662.31 is: 8,493.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,057.85 : 24,086.97 = 5,662.31 : x
  2. Step 2: Convert to fraction form
    16,057.85/24,086.97 = 5,662.31/x
  3. Step 3: Cross multiply
    16,057.85x = 24,086.97 × 5,662.31
  4. Step 4: Simplify right side
    16,057.85x = 136,387,770.67
  5. Step 5: Solve for x
    x = 136,387,770.67/16,057.85
  6. Step 6: Final answer
    x = 8,493.53

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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.