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Finding the Fourth Proportional to 22,269.76, 30,732.22 and 12,198.20

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Solution

The fourth proportional to 22,269.76, 30,732.22 and 12,198.20 is: 16,833.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,269.76 : 30,732.22 = 12,198.20 : x
  2. Step 2: Convert to fraction form
    22,269.76/30,732.22 = 12,198.20/x
  3. Step 3: Cross multiply
    22,269.76x = 30,732.22 × 12,198.20
  4. Step 4: Simplify right side
    22,269.76x = 374,877,766.00
  5. Step 5: Solve for x
    x = 374,877,766.00/22,269.76
  6. Step 6: Final answer
    x = 16,833.49

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1.5x scale

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.