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Finding the Fourth Proportional to 21,197.43, 31,794.30 and 8,049.90

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Solution

The fourth proportional to 21,197.43, 31,794.30 and 8,049.90 is: 12,074.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,197.43 : 31,794.30 = 8,049.90 : x
  2. Step 2: Convert to fraction form
    21,197.43/31,794.30 = 8,049.90/x
  3. Step 3: Cross multiply
    21,197.43x = 31,794.30 × 8,049.90
  4. Step 4: Simplify right side
    21,197.43x = 255,940,935.57
  5. Step 5: Solve for x
    x = 255,940,935.57/21,197.43
  6. Step 6: Final answer
    x = 12,074.15

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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.