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Finding the Fourth Proportional to 21,221.28, 31,819.50 and 8,074.62

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Solution

The fourth proportional to 21,221.28, 31,819.50 and 8,074.62 is: 12,107.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,221.28 : 31,819.50 = 8,074.62 : x
  2. Step 2: Convert to fraction form
    21,221.28/31,819.50 = 8,074.62/x
  3. Step 3: Cross multiply
    21,221.28x = 31,819.50 × 8,074.62
  4. Step 4: Simplify right side
    21,221.28x = 256,930,371.09
  5. Step 5: Solve for x
    x = 256,930,371.09/21,221.28
  6. Step 6: Final answer
    x = 12,107.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.