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Finding the Fourth Proportional to 27,781.92, 38,338.66 and 15,845.46

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Solution

The fourth proportional to 27,781.92, 38,338.66 and 15,845.46 is: 21,866.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,781.92 : 38,338.66 = 15,845.46 : x
  2. Step 2: Convert to fraction form
    27,781.92/38,338.66 = 15,845.46/x
  3. Step 3: Cross multiply
    27,781.92x = 38,338.66 × 15,845.46
  4. Step 4: Simplify right side
    27,781.92x = 607,493,490.39
  5. Step 5: Solve for x
    x = 607,493,490.39/27,781.92
  6. Step 6: Final answer
    x = 21,866.50

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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.