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Finding the Fourth Proportional to 20,161.90, 27,807.33 and 12,593.80

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Solution

The fourth proportional to 20,161.90, 27,807.33 and 12,593.80 is: 17,369.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,161.90 : 27,807.33 = 12,593.80 : x
  2. Step 2: Convert to fraction form
    20,161.90/27,807.33 = 12,593.80/x
  3. Step 3: Cross multiply
    20,161.90x = 27,807.33 × 12,593.80
  4. Step 4: Simplify right side
    20,161.90x = 350,199,952.55
  5. Step 5: Solve for x
    x = 350,199,952.55/20,161.90
  6. Step 6: Final answer
    x = 17,369.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.