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Finding the Fourth Proportional to 19,882.68, 29,837.64 and 8,195.82

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Solution

The fourth proportional to 19,882.68, 29,837.64 and 8,195.82 is: 12,299.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,882.68 : 29,837.64 = 8,195.82 : x
  2. Step 2: Convert to fraction form
    19,882.68/29,837.64 = 8,195.82/x
  3. Step 3: Cross multiply
    19,882.68x = 29,837.64 × 8,195.82
  4. Step 4: Simplify right side
    19,882.68x = 244,543,926.66
  5. Step 5: Solve for x
    x = 244,543,926.66/19,882.68
  6. Step 6: Final answer
    x = 12,299.34

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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.