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Finding the Fourth Proportional to 16,109.21, 24,169.97 and 6,255.41

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Solution

The fourth proportional to 16,109.21, 24,169.97 and 6,255.41 is: 9,385.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,109.21 : 24,169.97 = 6,255.41 : x
  2. Step 2: Convert to fraction form
    16,109.21/24,169.97 = 6,255.41/x
  3. Step 3: Cross multiply
    16,109.21x = 24,169.97 × 6,255.41
  4. Step 4: Simplify right side
    16,109.21x = 151,192,919.91
  5. Step 5: Solve for x
    x = 151,192,919.91/16,109.21
  6. Step 6: Final answer
    x = 9,385.50

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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.