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Finding the Fourth Proportional to 27,801.23, 38,321.10 and 21,822.82

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Solution

The fourth proportional to 27,801.23, 38,321.10 and 21,822.82 is: 30,080.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,801.23 : 38,321.10 = 21,822.82 : x
  2. Step 2: Convert to fraction form
    27,801.23/38,321.10 = 21,822.82/x
  3. Step 3: Cross multiply
    27,801.23x = 38,321.10 × 21,822.82
  4. Step 4: Simplify right side
    27,801.23x = 836,274,371.70
  5. Step 5: Solve for x
    x = 836,274,371.70/27,801.23
  6. Step 6: Final answer
    x = 30,080.49

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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.