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Finding the Fourth Proportional to 27,872.82, 38,464.23 and 15,297.30

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Solution

The fourth proportional to 27,872.82, 38,464.23 and 15,297.30 is: 21,110.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,872.82 : 38,464.23 = 15,297.30 : x
  2. Step 2: Convert to fraction form
    27,872.82/38,464.23 = 15,297.30/x
  3. Step 3: Cross multiply
    27,872.82x = 38,464.23 × 15,297.30
  4. Step 4: Simplify right side
    27,872.82x = 588,398,865.58
  5. Step 5: Solve for x
    x = 588,398,865.58/27,872.82
  6. Step 6: Final answer
    x = 21,110.13

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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.