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Finding the Fourth Proportional to 16,424, 24,639.24 and 8,398.52

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Solution

The fourth proportional to 16,424, 24,639.24 and 8,398.52 is: 12,599.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,424 : 24,639.24 = 8,398.52 : x
  2. Step 2: Convert to fraction form
    16,424/24,639.24 = 8,398.52/x
  3. Step 3: Cross multiply
    16,424x = 24,639.24 × 8,398.52
  4. Step 4: Simplify right side
    16,424x = 206,933,149.92
  5. Step 5: Solve for x
    x = 206,933,149.92/16,424
  6. Step 6: Final answer
    x = 12,599.44

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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.