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Finding the Fourth Proportional to 19,761.84, 29,651.08 and 8,662.80

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Solution

The fourth proportional to 19,761.84, 29,651.08 and 8,662.80 is: 12,997.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,761.84 : 29,651.08 = 8,662.80 : x
  2. Step 2: Convert to fraction form
    19,761.84/29,651.08 = 8,662.80/x
  3. Step 3: Cross multiply
    19,761.84x = 29,651.08 × 8,662.80
  4. Step 4: Simplify right side
    19,761.84x = 256,861,375.82
  5. Step 5: Solve for x
    x = 256,861,375.82/19,761.84
  6. Step 6: Final answer
    x = 12,997.85

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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.