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Finding the Fourth Proportional to 27,982.31, 38,616.50 and 15,236.01

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Solution

The fourth proportional to 27,982.31, 38,616.50 and 15,236.01 is: 21,026.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,982.31 : 38,616.50 = 15,236.01 : x
  2. Step 2: Convert to fraction form
    27,982.31/38,616.50 = 15,236.01/x
  3. Step 3: Cross multiply
    27,982.31x = 38,616.50 × 15,236.01
  4. Step 4: Simplify right side
    27,982.31x = 588,361,418.26
  5. Step 5: Solve for x
    x = 588,361,418.26/27,982.31
  6. Step 6: Final answer
    x = 21,026.20

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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.