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Finding the Fourth Proportional to 15,076.38, 20,805.48 and 8,361.54

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Solution

The fourth proportional to 15,076.38, 20,805.48 and 8,361.54 is: 11,538.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,076.38 : 20,805.48 = 8,361.54 : x
  2. Step 2: Convert to fraction form
    15,076.38/20,805.48 = 8,361.54/x
  3. Step 3: Cross multiply
    15,076.38x = 20,805.48 × 8,361.54
  4. Step 4: Simplify right side
    15,076.38x = 173,965,853.24
  5. Step 5: Solve for x
    x = 173,965,853.24/15,076.38
  6. Step 6: Final answer
    x = 11,538.97

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Why These Related Problems?

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