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Finding the Fourth Proportional to 22,182.72, 33,264.36 and 8,322

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Solution

The fourth proportional to 22,182.72, 33,264.36 and 8,322 is: 12,479.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,182.72 : 33,264.36 = 8,322 : x
  2. Step 2: Convert to fraction form
    22,182.72/33,264.36 = 8,322/x
  3. Step 3: Cross multiply
    22,182.72x = 33,264.36 × 8,322
  4. Step 4: Simplify right side
    22,182.72x = 276,826,003.92
  5. Step 5: Solve for x
    x = 276,826,003.92/22,182.72
  6. Step 6: Final answer
    x = 12,479.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.