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Finding the Fourth Proportional to 19,591.92, 29,392.20 and 9,198

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Solution

The fourth proportional to 19,591.92, 29,392.20 and 9,198 is: 13,799.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,591.92 : 29,392.20 = 9,198 : x
  2. Step 2: Convert to fraction form
    19,591.92/29,392.20 = 9,198/x
  3. Step 3: Cross multiply
    19,591.92x = 29,392.20 × 9,198
  4. Step 4: Simplify right side
    19,591.92x = 270,349,455.60
  5. Step 5: Solve for x
    x = 270,349,455.60/19,591.92
  6. Step 6: Final answer
    x = 13,799.03

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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.