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Finding the Fourth Proportional to 16,384, 24,576 and 5,299.96

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Solution

The fourth proportional to 16,384, 24,576 and 5,299.96 is: 7,949.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384 : 24,576 = 5,299.96 : x
  2. Step 2: Convert to fraction form
    16,384/24,576 = 5,299.96/x
  3. Step 3: Cross multiply
    16,384x = 24,576 × 5,299.96
  4. Step 4: Simplify right side
    16,384x = 130,251,816.96
  5. Step 5: Solve for x
    x = 130,251,816.96/16,384
  6. Step 6: Final answer
    x = 7,949.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.