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Finding the Fourth Proportional to 21,251.50, 31,863.58 and 8,096.69

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Solution

The fourth proportional to 21,251.50, 31,863.58 and 8,096.69 is: 12,139.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,251.50 : 31,863.58 = 8,096.69 : x
  2. Step 2: Convert to fraction form
    21,251.50/31,863.58 = 8,096.69/x
  3. Step 3: Cross multiply
    21,251.50x = 31,863.58 × 8,096.69
  4. Step 4: Simplify right side
    21,251.50x = 257,989,588.97
  5. Step 5: Solve for x
    x = 257,989,588.97/21,251.50
  6. Step 6: Final answer
    x = 12,139.83

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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.