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Finding the Fourth Proportional to 19,838.70, 27,375.80 and 11,340.38

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Solution

The fourth proportional to 19,838.70, 27,375.80 and 11,340.38 is: 15,648.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,838.70 : 27,375.80 = 11,340.38 : x
  2. Step 2: Convert to fraction form
    19,838.70/27,375.80 = 11,340.38/x
  3. Step 3: Cross multiply
    19,838.70x = 27,375.80 × 11,340.38
  4. Step 4: Simplify right side
    19,838.70x = 310,451,974.80
  5. Step 5: Solve for x
    x = 310,451,974.80/19,838.70
  6. Step 6: Final answer
    x = 15,648.81

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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.