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Finding the Fourth Proportional to 22,081.80, 33,101.10 and 11,557.20

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Solution

The fourth proportional to 22,081.80, 33,101.10 and 11,557.20 is: 17,324.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,081.80 : 33,101.10 = 11,557.20 : x
  2. Step 2: Convert to fraction form
    22,081.80/33,101.10 = 11,557.20/x
  3. Step 3: Cross multiply
    22,081.80x = 33,101.10 × 11,557.20
  4. Step 4: Simplify right side
    22,081.80x = 382,556,032.92
  5. Step 5: Solve for x
    x = 382,556,032.92/22,081.80
  6. Step 6: Final answer
    x = 17,324.49

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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.