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Finding the Fourth Proportional to 16,136.31, 24,206.93 and 8,234.52

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Solution

The fourth proportional to 16,136.31, 24,206.93 and 8,234.52 is: 12,353.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,136.31 : 24,206.93 = 8,234.52 : x
  2. Step 2: Convert to fraction form
    16,136.31/24,206.93 = 8,234.52/x
  3. Step 3: Cross multiply
    16,136.31x = 24,206.93 × 8,234.52
  4. Step 4: Simplify right side
    16,136.31x = 199,332,449.22
  5. Step 5: Solve for x
    x = 199,332,449.22/16,136.31
  6. Step 6: Final answer
    x = 12,353.04

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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.