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Finding the Fourth Proportional to 27,020.72, 40,398 and 22,906.80

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Solution

The fourth proportional to 27,020.72, 40,398 and 22,906.80 is: 34,247.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,020.72 : 40,398 = 22,906.80 : x
  2. Step 2: Convert to fraction form
    27,020.72/40,398 = 22,906.80/x
  3. Step 3: Cross multiply
    27,020.72x = 40,398 × 22,906.80
  4. Step 4: Simplify right side
    27,020.72x = 925,388,906.40
  5. Step 5: Solve for x
    x = 925,388,906.40/27,020.72
  6. Step 6: Final answer
    x = 34,247.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.