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Finding the Fourth Proportional to 16,288.20, 24,429.78 and 6,434.28

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Solution

The fourth proportional to 16,288.20, 24,429.78 and 6,434.28 is: 9,650.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,288.20 : 24,429.78 = 6,434.28 : x
  2. Step 2: Convert to fraction form
    16,288.20/24,429.78 = 6,434.28/x
  3. Step 3: Cross multiply
    16,288.20x = 24,429.78 × 6,434.28
  4. Step 4: Simplify right side
    16,288.20x = 157,188,044.86
  5. Step 5: Solve for x
    x = 157,188,044.86/16,288.20
  6. Step 6: Final answer
    x = 9,650.42

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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.