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Finding the Fourth Proportional to 22,197.71, 33,292.06 and 8,152.91

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Solution

The fourth proportional to 22,197.71, 33,292.06 and 8,152.91 is: 12,227.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,197.71 : 33,292.06 = 8,152.91 : x
  2. Step 2: Convert to fraction form
    22,197.71/33,292.06 = 8,152.91/x
  3. Step 3: Cross multiply
    22,197.71x = 33,292.06 × 8,152.91
  4. Step 4: Simplify right side
    22,197.71x = 271,427,168.89
  5. Step 5: Solve for x
    x = 271,427,168.89/22,197.71
  6. Step 6: Final answer
    x = 12,227.71

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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.