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Finding the Fourth Proportional to 20,918.39, 31,383.65 and 8,431.97

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Solution

The fourth proportional to 20,918.39, 31,383.65 and 8,431.97 is: 12,650.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,918.39 : 31,383.65 = 8,431.97 : x
  2. Step 2: Convert to fraction form
    20,918.39/31,383.65 = 8,431.97/x
  3. Step 3: Cross multiply
    20,918.39x = 31,383.65 × 8,431.97
  4. Step 4: Simplify right side
    20,918.39x = 264,625,859.45
  5. Step 5: Solve for x
    x = 264,625,859.45/20,918.39
  6. Step 6: Final answer
    x = 12,650.40

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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.