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Finding the Fourth Proportional to 27,781.86, 38,338.57 and 15,845.39

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Solution

The fourth proportional to 27,781.86, 38,338.57 and 15,845.39 is: 21,866.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,781.86 : 38,338.57 = 15,845.39 : x
  2. Step 2: Convert to fraction form
    27,781.86/38,338.57 = 15,845.39/x
  3. Step 3: Cross multiply
    27,781.86x = 38,338.57 × 15,845.39
  4. Step 4: Simplify right side
    27,781.86x = 607,489,593.69
  5. Step 5: Solve for x
    x = 607,489,593.69/27,781.86
  6. Step 6: Final answer
    x = 21,866.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.