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Finding the Fourth Proportional to 22,033.49, 30,406.23 and 11,961.94

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Solution

The fourth proportional to 22,033.49, 30,406.23 and 11,961.94 is: 16,507.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,033.49 : 30,406.23 = 11,961.94 : x
  2. Step 2: Convert to fraction form
    22,033.49/30,406.23 = 11,961.94/x
  3. Step 3: Cross multiply
    22,033.49x = 30,406.23 × 11,961.94
  4. Step 4: Simplify right side
    22,033.49x = 363,717,346.86
  5. Step 5: Solve for x
    x = 363,717,346.86/22,033.49
  6. Step 6: Final answer
    x = 16,507.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.