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Finding the Fourth Proportional to 24,136.14, 36,198.74 and 8,553.77

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Solution

The fourth proportional to 24,136.14, 36,198.74 and 8,553.77 is: 12,828.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,136.14 : 36,198.74 = 8,553.77 : x
  2. Step 2: Convert to fraction form
    24,136.14/36,198.74 = 8,553.77/x
  3. Step 3: Cross multiply
    24,136.14x = 36,198.74 × 8,553.77
  4. Step 4: Simplify right side
    24,136.14x = 309,635,472.49
  5. Step 5: Solve for x
    x = 309,635,472.49/24,136.14
  6. Step 6: Final answer
    x = 12,828.71

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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.