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Finding the Fourth Proportional to 16,951.78, 25,394.56 and 8,054.44

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Solution

The fourth proportional to 16,951.78, 25,394.56 and 8,054.44 is: 12,065.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,951.78 : 25,394.56 = 8,054.44 : x
  2. Step 2: Convert to fraction form
    16,951.78/25,394.56 = 8,054.44/x
  3. Step 3: Cross multiply
    16,951.78x = 25,394.56 × 8,054.44
  4. Step 4: Simplify right side
    16,951.78x = 204,538,959.85
  5. Step 5: Solve for x
    x = 204,538,959.85/16,951.78
  6. Step 6: Final answer
    x = 12,065.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.