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Finding the Fourth Proportional to 22,062.72, 33,074.62 and 8,202

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Solution

The fourth proportional to 22,062.72, 33,074.62 and 8,202 is: 12,295.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,062.72 : 33,074.62 = 8,202 : x
  2. Step 2: Convert to fraction form
    22,062.72/33,074.62 = 8,202/x
  3. Step 3: Cross multiply
    22,062.72x = 33,074.62 × 8,202
  4. Step 4: Simplify right side
    22,062.72x = 271,278,033.24
  5. Step 5: Solve for x
    x = 271,278,033.24/22,062.72
  6. Step 6: Final answer
    x = 12,295.77

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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.