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Finding the Fourth Proportional to 22,447.94, 33,671.92 and 6,865.44

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Solution

The fourth proportional to 22,447.94, 33,671.92 and 6,865.44 is: 10,298.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,447.94 : 33,671.92 = 6,865.44 : x
  2. Step 2: Convert to fraction form
    22,447.94/33,671.92 = 6,865.44/x
  3. Step 3: Cross multiply
    22,447.94x = 33,671.92 × 6,865.44
  4. Step 4: Simplify right side
    22,447.94x = 231,172,546.44
  5. Step 5: Solve for x
    x = 231,172,546.44/22,447.94
  6. Step 6: Final answer
    x = 10,298.16

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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.