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Finding the Fourth Proportional to 22,536.77, 33,809.97 and 6,743.01

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Solution

The fourth proportional to 22,536.77, 33,809.97 and 6,743.01 is: 10,115.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,536.77 : 33,809.97 = 6,743.01 : x
  2. Step 2: Convert to fraction form
    22,536.77/33,809.97 = 6,743.01/x
  3. Step 3: Cross multiply
    22,536.77x = 33,809.97 × 6,743.01
  4. Step 4: Simplify right side
    22,536.77x = 227,981,117.88
  5. Step 5: Solve for x
    x = 227,981,117.88/22,536.77
  6. Step 6: Final answer
    x = 10,115.96

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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.