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Finding the Fourth Proportional to 20,918.36, 31,383.68 and 8,431.98

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Solution

The fourth proportional to 20,918.36, 31,383.68 and 8,431.98 is: 12,650.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,918.36 : 31,383.68 = 8,431.98 : x
  2. Step 2: Convert to fraction form
    20,918.36/31,383.68 = 8,431.98/x
  3. Step 3: Cross multiply
    20,918.36x = 31,383.68 × 8,431.98
  4. Step 4: Simplify right side
    20,918.36x = 264,626,562.09
  5. Step 5: Solve for x
    x = 264,626,562.09/20,918.36
  6. Step 6: Final answer
    x = 12,650.44

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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.