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Finding the Fourth Proportional to 21,794.38, 30,076.78 and 11,858.38

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Solution

The fourth proportional to 21,794.38, 30,076.78 and 11,858.38 is: 16,364.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,794.38 : 30,076.78 = 11,858.38 : x
  2. Step 2: Convert to fraction form
    21,794.38/30,076.78 = 11,858.38/x
  3. Step 3: Cross multiply
    21,794.38x = 30,076.78 × 11,858.38
  4. Step 4: Simplify right side
    21,794.38x = 356,661,886.42
  5. Step 5: Solve for x
    x = 356,661,886.42/21,794.38
  6. Step 6: Final answer
    x = 16,364.86

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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.