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Finding the Fourth Proportional to 16,384.72, 24,578.36 and 5,996.24

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Solution

The fourth proportional to 16,384.72, 24,578.36 and 5,996.24 is: 8,994.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.72 : 24,578.36 = 5,996.24 : x
  2. Step 2: Convert to fraction form
    16,384.72/24,578.36 = 5,996.24/x
  3. Step 3: Cross multiply
    16,384.72x = 24,578.36 × 5,996.24
  4. Step 4: Simplify right side
    16,384.72x = 147,377,745.37
  5. Step 5: Solve for x
    x = 147,377,745.37/16,384.72
  6. Step 6: Final answer
    x = 8,994.83

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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.