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Finding the Fourth Proportional to 27,682.50, 38,223.61 and 22,287.80

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Solution

The fourth proportional to 27,682.50, 38,223.61 and 22,287.80 is: 30,774.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,682.50 : 38,223.61 = 22,287.80 : x
  2. Step 2: Convert to fraction form
    27,682.50/38,223.61 = 22,287.80/x
  3. Step 3: Cross multiply
    27,682.50x = 38,223.61 × 22,287.80
  4. Step 4: Simplify right side
    27,682.50x = 851,919,983.84
  5. Step 5: Solve for x
    x = 851,919,983.84/27,682.50
  6. Step 6: Final answer
    x = 30,774.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.