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Finding the Fourth Proportional to 27,824.58, 38,398.23 and 15,249.42

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Solution

The fourth proportional to 27,824.58, 38,398.23 and 15,249.42 is: 21,044.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,824.58 : 38,398.23 = 15,249.42 : x
  2. Step 2: Convert to fraction form
    27,824.58/38,398.23 = 15,249.42/x
  3. Step 3: Cross multiply
    27,824.58x = 38,398.23 × 15,249.42
  4. Step 4: Simplify right side
    27,824.58x = 585,550,736.53
  5. Step 5: Solve for x
    x = 585,550,736.53/27,824.58
  6. Step 6: Final answer
    x = 21,044.37

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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.