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Finding the Fourth Proportional to 22,263.32, 30,723.38 and 12,192.38

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Solution

The fourth proportional to 22,263.32, 30,723.38 and 12,192.38 is: 16,825.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,263.32 : 30,723.38 = 12,192.38 : x
  2. Step 2: Convert to fraction form
    22,263.32/30,723.38 = 12,192.38/x
  3. Step 3: Cross multiply
    22,263.32x = 30,723.38 × 12,192.38
  4. Step 4: Simplify right side
    22,263.32x = 374,591,123.84
  5. Step 5: Solve for x
    x = 374,591,123.84/22,263.32
  6. Step 6: Final answer
    x = 16,825.49

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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.