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Finding the Fourth Proportional to 22,342.38, 30,832.51 and 12,271.33

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Solution

The fourth proportional to 22,342.38, 30,832.51 and 12,271.33 is: 16,934.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,342.38 : 30,832.51 = 12,271.33 : x
  2. Step 2: Convert to fraction form
    22,342.38/30,832.51 = 12,271.33/x
  3. Step 3: Cross multiply
    22,342.38x = 30,832.51 × 12,271.33
  4. Step 4: Simplify right side
    22,342.38x = 378,355,727.86
  5. Step 5: Solve for x
    x = 378,355,727.86/22,342.38
  6. Step 6: Final answer
    x = 16,934.44

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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.