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Finding the Fourth Proportional to 16,512.05, 24,771.72 and 8,196.59

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Solution

The fourth proportional to 16,512.05, 24,771.72 and 8,196.59 is: 12,296.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,512.05 : 24,771.72 = 8,196.59 : x
  2. Step 2: Convert to fraction form
    16,512.05/24,771.72 = 8,196.59/x
  3. Step 3: Cross multiply
    16,512.05x = 24,771.72 × 8,196.59
  4. Step 4: Simplify right side
    16,512.05x = 203,043,632.43
  5. Step 5: Solve for x
    x = 203,043,632.43/16,512.05
  6. Step 6: Final answer
    x = 12,296.69

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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.