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Finding the Fourth Proportional to 27,324.86, 37,708.34 and 15,992.28

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Solution

The fourth proportional to 27,324.86, 37,708.34 and 15,992.28 is: 22,069.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,324.86 : 37,708.34 = 15,992.28 : x
  2. Step 2: Convert to fraction form
    27,324.86/37,708.34 = 15,992.28/x
  3. Step 3: Cross multiply
    27,324.86x = 37,708.34 × 15,992.28
  4. Step 4: Simplify right side
    27,324.86x = 603,042,251.65
  5. Step 5: Solve for x
    x = 603,042,251.65/27,324.86
  6. Step 6: Final answer
    x = 22,069.37

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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.