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Finding the Fourth Proportional to 16,523.08, 24,771.66 and 8,197.24

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Solution

The fourth proportional to 16,523.08, 24,771.66 and 8,197.24 is: 12,289.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,523.08 : 24,771.66 = 8,197.24 : x
  2. Step 2: Convert to fraction form
    16,523.08/24,771.66 = 8,197.24/x
  3. Step 3: Cross multiply
    16,523.08x = 24,771.66 × 8,197.24
  4. Step 4: Simplify right side
    16,523.08x = 203,059,242.22
  5. Step 5: Solve for x
    x = 203,059,242.22/16,523.08
  6. Step 6: Final answer
    x = 12,289.43

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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.