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Finding the Fourth Proportional to 27,601.92, 38,091.83 and 15,666.38

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Solution

The fourth proportional to 27,601.92, 38,091.83 and 15,666.38 is: 21,620.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,601.92 : 38,091.83 = 15,666.38 : x
  2. Step 2: Convert to fraction form
    27,601.92/38,091.83 = 15,666.38/x
  3. Step 3: Cross multiply
    27,601.92x = 38,091.83 × 15,666.38
  4. Step 4: Simplify right side
    27,601.92x = 596,760,814.88
  5. Step 5: Solve for x
    x = 596,760,814.88/27,601.92
  6. Step 6: Final answer
    x = 21,620.26

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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.