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Finding the Fourth Proportional to 17,661.32, 24,371.22 and 10,105.92

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Solution

The fourth proportional to 17,661.32, 24,371.22 and 10,105.92 is: 13,945.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,661.32 : 24,371.22 = 10,105.92 : x
  2. Step 2: Convert to fraction form
    17,661.32/24,371.22 = 10,105.92/x
  3. Step 3: Cross multiply
    17,661.32x = 24,371.22 × 10,105.92
  4. Step 4: Simplify right side
    17,661.32x = 246,293,599.62
  5. Step 5: Solve for x
    x = 246,293,599.62/17,661.32
  6. Step 6: Final answer
    x = 13,945.37

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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.