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Finding the Fourth Proportional to 14,578.38, 20,115.80 and 8,609.22

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Solution

The fourth proportional to 14,578.38, 20,115.80 and 8,609.22 is: 11,879.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,578.38 : 20,115.80 = 8,609.22 : x
  2. Step 2: Convert to fraction form
    14,578.38/20,115.80 = 8,609.22/x
  3. Step 3: Cross multiply
    14,578.38x = 20,115.80 × 8,609.22
  4. Step 4: Simplify right side
    14,578.38x = 173,181,347.68
  5. Step 5: Solve for x
    x = 173,181,347.68/14,578.38
  6. Step 6: Final answer
    x = 11,879.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.