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Finding the Fourth Proportional to 12,093.38, 18,141.26 and 4,496.70

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Solution

The fourth proportional to 12,093.38, 18,141.26 and 4,496.70 is: 6,745.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,093.38 : 18,141.26 = 4,496.70 : x
  2. Step 2: Convert to fraction form
    12,093.38/18,141.26 = 4,496.70/x
  3. Step 3: Cross multiply
    12,093.38x = 18,141.26 × 4,496.70
  4. Step 4: Simplify right side
    12,093.38x = 81,575,781.36
  5. Step 5: Solve for x
    x = 81,575,781.36/12,093.38
  6. Step 6: Final answer
    x = 6,745.49

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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.