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Finding the Fourth Proportional to 13,192.50, 19,781.49 and 5,793.18

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Solution

The fourth proportional to 13,192.50, 19,781.49 and 5,793.18 is: 8,686.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,192.50 : 19,781.49 = 5,793.18 : x
  2. Step 2: Convert to fraction form
    13,192.50/19,781.49 = 5,793.18/x
  3. Step 3: Cross multiply
    13,192.50x = 19,781.49 × 5,793.18
  4. Step 4: Simplify right side
    13,192.50x = 114,597,732.24
  5. Step 5: Solve for x
    x = 114,597,732.24/13,192.50
  6. Step 6: Final answer
    x = 8,686.58

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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.