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Finding the Fourth Proportional to 22,018.27, 33,020.70 and 7,223.80

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Solution

The fourth proportional to 22,018.27, 33,020.70 and 7,223.80 is: 10,833.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,018.27 : 33,020.70 = 7,223.80 : x
  2. Step 2: Convert to fraction form
    22,018.27/33,020.70 = 7,223.80/x
  3. Step 3: Cross multiply
    22,018.27x = 33,020.70 × 7,223.80
  4. Step 4: Simplify right side
    22,018.27x = 238,534,932.66
  5. Step 5: Solve for x
    x = 238,534,932.66/22,018.27
  6. Step 6: Final answer
    x = 10,833.50

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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.