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Finding the Fourth Proportional to 22,609.80, 33,910.44 and 9,458.64

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Solution

The fourth proportional to 22,609.80, 33,910.44 and 9,458.64 is: 14,186.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,609.80 : 33,910.44 = 9,458.64 : x
  2. Step 2: Convert to fraction form
    22,609.80/33,910.44 = 9,458.64/x
  3. Step 3: Cross multiply
    22,609.80x = 33,910.44 × 9,458.64
  4. Step 4: Simplify right side
    22,609.80x = 320,746,644.20
  5. Step 5: Solve for x
    x = 320,746,644.20/22,609.80
  6. Step 6: Final answer
    x = 14,186.18

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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.