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Finding the Fourth Proportional to 16,505.43, 24,762.24 and 8,189.37

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Solution

The fourth proportional to 16,505.43, 24,762.24 and 8,189.37 is: 12,286.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,505.43 : 24,762.24 = 8,189.37 : x
  2. Step 2: Convert to fraction form
    16,505.43/24,762.24 = 8,189.37/x
  3. Step 3: Cross multiply
    16,505.43x = 24,762.24 × 8,189.37
  4. Step 4: Simplify right side
    16,505.43x = 202,787,145.39
  5. Step 5: Solve for x
    x = 202,787,145.39/16,505.43
  6. Step 6: Final answer
    x = 12,286.09

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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.