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Finding the Fourth Proportional to 20,098.17, 30,136.32 and 8,408.66

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Solution

The fourth proportional to 20,098.17, 30,136.32 and 8,408.66 is: 12,608.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098.17 : 30,136.32 = 8,408.66 : x
  2. Step 2: Convert to fraction form
    20,098.17/30,136.32 = 8,408.66/x
  3. Step 3: Cross multiply
    20,098.17x = 30,136.32 × 8,408.66
  4. Step 4: Simplify right side
    20,098.17x = 253,405,917.85
  5. Step 5: Solve for x
    x = 253,405,917.85/20,098.17
  6. Step 6: Final answer
    x = 12,608.41

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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.