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Finding the Fourth Proportional to 27,113.20, 40,593.12 and 17,228

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Solution

The fourth proportional to 27,113.20, 40,593.12 and 17,228 is: 25,793.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,113.20 : 40,593.12 = 17,228 : x
  2. Step 2: Convert to fraction form
    27,113.20/40,593.12 = 17,228/x
  3. Step 3: Cross multiply
    27,113.20x = 40,593.12 × 17,228
  4. Step 4: Simplify right side
    27,113.20x = 699,338,271.36
  5. Step 5: Solve for x
    x = 699,338,271.36/27,113.20
  6. Step 6: Final answer
    x = 25,793.28

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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.