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Finding the Fourth Proportional to 19,802.38, 27,326.46 and 11,839.90

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Solution

The fourth proportional to 19,802.38, 27,326.46 and 11,839.90 is: 16,338.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,802.38 : 27,326.46 = 11,839.90 : x
  2. Step 2: Convert to fraction form
    19,802.38/27,326.46 = 11,839.90/x
  3. Step 3: Cross multiply
    19,802.38x = 27,326.46 × 11,839.90
  4. Step 4: Simplify right side
    19,802.38x = 323,542,553.75
  5. Step 5: Solve for x
    x = 323,542,553.75/19,802.38
  6. Step 6: Final answer
    x = 16,338.57

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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.