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Finding the Fourth Proportional to 16,536.27, 24,801.11 and 8,099.15

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Solution

The fourth proportional to 16,536.27, 24,801.11 and 8,099.15 is: 12,147.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,536.27 : 24,801.11 = 8,099.15 : x
  2. Step 2: Convert to fraction form
    16,536.27/24,801.11 = 8,099.15/x
  3. Step 3: Cross multiply
    16,536.27x = 24,801.11 × 8,099.15
  4. Step 4: Simplify right side
    16,536.27x = 200,867,931.56
  5. Step 5: Solve for x
    x = 200,867,931.56/16,536.27
  6. Step 6: Final answer
    x = 12,147.11

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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.