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Finding the Fourth Proportional to 20,231.88, 27,911.97 and 12,271.20

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Solution

The fourth proportional to 20,231.88, 27,911.97 and 12,271.20 is: 16,929.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,231.88 : 27,911.97 = 12,271.20 : x
  2. Step 2: Convert to fraction form
    20,231.88/27,911.97 = 12,271.20/x
  3. Step 3: Cross multiply
    20,231.88x = 27,911.97 × 12,271.20
  4. Step 4: Simplify right side
    20,231.88x = 342,513,366.26
  5. Step 5: Solve for x
    x = 342,513,366.26/20,231.88
  6. Step 6: Final answer
    x = 16,929.39

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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.