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Finding the Fourth Proportional to 22,033.31, 30,406.04 and 11,961.77

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Solution

The fourth proportional to 22,033.31, 30,406.04 and 11,961.77 is: 16,507.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,033.31 : 30,406.04 = 11,961.77 : x
  2. Step 2: Convert to fraction form
    22,033.31/30,406.04 = 11,961.77/x
  3. Step 3: Cross multiply
    22,033.31x = 30,406.04 × 11,961.77
  4. Step 4: Simplify right side
    22,033.31x = 363,709,934.97
  5. Step 5: Solve for x
    x = 363,709,934.97/22,033.31
  6. Step 6: Final answer
    x = 16,507.28

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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.