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Finding the Fourth Proportional to 20,175.80, 27,843.50 and 11,223.10

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Solution

The fourth proportional to 20,175.80, 27,843.50 and 11,223.10 is: 15,488.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,175.80 : 27,843.50 = 11,223.10 : x
  2. Step 2: Convert to fraction form
    20,175.80/27,843.50 = 11,223.10/x
  3. Step 3: Cross multiply
    20,175.80x = 27,843.50 × 11,223.10
  4. Step 4: Simplify right side
    20,175.80x = 312,490,384.85
  5. Step 5: Solve for x
    x = 312,490,384.85/20,175.80
  6. Step 6: Final answer
    x = 15,488.38

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1.5x scale

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.