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Finding the Fourth Proportional to 16,091.24, 22,205.86 and 9,380.84

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Solution

The fourth proportional to 16,091.24, 22,205.86 and 9,380.84 is: 12,945.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,091.24 : 22,205.86 = 9,380.84 : x
  2. Step 2: Convert to fraction form
    16,091.24/22,205.86 = 9,380.84/x
  3. Step 3: Cross multiply
    16,091.24x = 22,205.86 × 9,380.84
  4. Step 4: Simplify right side
    16,091.24x = 208,309,619.72
  5. Step 5: Solve for x
    x = 208,309,619.72/16,091.24
  6. Step 6: Final answer
    x = 12,945.53

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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.