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Finding the Fourth Proportional to 21,313.98, 31,970.97 and 8,166.38

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Solution

The fourth proportional to 21,313.98, 31,970.97 and 8,166.38 is: 12,249.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,313.98 : 31,970.97 = 8,166.38 : x
  2. Step 2: Convert to fraction form
    21,313.98/31,970.97 = 8,166.38/x
  3. Step 3: Cross multiply
    21,313.98x = 31,970.97 × 8,166.38
  4. Step 4: Simplify right side
    21,313.98x = 261,086,930.13
  5. Step 5: Solve for x
    x = 261,086,930.13/21,313.98
  6. Step 6: Final answer
    x = 12,249.56

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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.