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Finding the Fourth Proportional to 27,324.26, 37,708.41 and 15,994.82

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Solution

The fourth proportional to 27,324.26, 37,708.41 and 15,994.82 is: 22,073.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,324.26 : 37,708.41 = 15,994.82 : x
  2. Step 2: Convert to fraction form
    27,324.26/37,708.41 = 15,994.82/x
  3. Step 3: Cross multiply
    27,324.26x = 37,708.41 × 15,994.82
  4. Step 4: Simplify right side
    27,324.26x = 603,139,101.87
  5. Step 5: Solve for x
    x = 603,139,101.87/27,324.26
  6. Step 6: Final answer
    x = 22,073.39

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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.