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Finding the Fourth Proportional to 21,313.92, 31,971.18 and 8,166.96

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Solution

The fourth proportional to 21,313.92, 31,971.18 and 8,166.96 is: 12,250.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,313.92 : 31,971.18 = 8,166.96 : x
  2. Step 2: Convert to fraction form
    21,313.92/31,971.18 = 8,166.96/x
  3. Step 3: Cross multiply
    21,313.92x = 31,971.18 × 8,166.96
  4. Step 4: Simplify right side
    21,313.92x = 261,107,348.21
  5. Step 5: Solve for x
    x = 261,107,348.21/21,313.92
  6. Step 6: Final answer
    x = 12,250.55

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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.