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Finding the Fourth Proportional to 22,271.58, 30,733.58 and 12,198.11

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Solution

The fourth proportional to 22,271.58, 30,733.58 and 12,198.11 is: 16,832.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,271.58 : 30,733.58 = 12,198.11 : x
  2. Step 2: Convert to fraction form
    22,271.58/30,733.58 = 12,198.11/x
  3. Step 3: Cross multiply
    22,271.58x = 30,733.58 × 12,198.11
  4. Step 4: Simplify right side
    22,271.58x = 374,891,589.53
  5. Step 5: Solve for x
    x = 374,891,589.53/22,271.58
  6. Step 6: Final answer
    x = 16,832.73

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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.