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Finding the Fourth Proportional to 19,862.82, 29,823.39 and 8,198.82

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Solution

The fourth proportional to 19,862.82, 29,823.39 and 8,198.82 is: 12,310.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,862.82 : 29,823.39 = 8,198.82 : x
  2. Step 2: Convert to fraction form
    19,862.82/29,823.39 = 8,198.82/x
  3. Step 3: Cross multiply
    19,862.82x = 29,823.39 × 8,198.82
  4. Step 4: Simplify right side
    19,862.82x = 244,516,606.40
  5. Step 5: Solve for x
    x = 244,516,606.40/19,862.82
  6. Step 6: Final answer
    x = 12,310.27

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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.