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Finding the Fourth Proportional to 16,137.20, 24,171.78 and 7,379.48

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Solution

The fourth proportional to 16,137.20, 24,171.78 and 7,379.48 is: 11,053.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,137.20 : 24,171.78 = 7,379.48 : x
  2. Step 2: Convert to fraction form
    16,137.20/24,171.78 = 7,379.48/x
  3. Step 3: Cross multiply
    16,137.20x = 24,171.78 × 7,379.48
  4. Step 4: Simplify right side
    16,137.20x = 178,375,167.07
  5. Step 5: Solve for x
    x = 178,375,167.07/16,137.20
  6. Step 6: Final answer
    x = 11,053.66

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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.