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Finding the Fourth Proportional to 16,091.82, 22,205.80 and 9,378.54

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Solution

The fourth proportional to 16,091.82, 22,205.80 and 9,378.54 is: 12,941.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,091.82 : 22,205.80 = 9,378.54 : x
  2. Step 2: Convert to fraction form
    16,091.82/22,205.80 = 9,378.54/x
  3. Step 3: Cross multiply
    16,091.82x = 22,205.80 × 9,378.54
  4. Step 4: Simplify right side
    16,091.82x = 208,257,983.53
  5. Step 5: Solve for x
    x = 208,257,983.53/16,091.82
  6. Step 6: Final answer
    x = 12,941.85

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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.