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Finding the Fourth Proportional to 16,136.20, 24,211.19 and 7,822.36

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Solution

The fourth proportional to 16,136.20, 24,211.19 and 7,822.36 is: 11,736.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,136.20 : 24,211.19 = 7,822.36 : x
  2. Step 2: Convert to fraction form
    16,136.20/24,211.19 = 7,822.36/x
  3. Step 3: Cross multiply
    16,136.20x = 24,211.19 × 7,822.36
  4. Step 4: Simplify right side
    16,136.20x = 189,388,644.21
  5. Step 5: Solve for x
    x = 189,388,644.21/16,136.20
  6. Step 6: Final answer
    x = 11,736.88

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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.