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Finding the Fourth Proportional to 12,191.82, 16,838.55 and 8,206.01

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Solution

The fourth proportional to 12,191.82, 16,838.55 and 8,206.01 is: 11,333.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.82 : 16,838.55 = 8,206.01 : x
  2. Step 2: Convert to fraction form
    12,191.82/16,838.55 = 8,206.01/x
  3. Step 3: Cross multiply
    12,191.82x = 16,838.55 × 8,206.01
  4. Step 4: Simplify right side
    12,191.82x = 138,177,309.69
  5. Step 5: Solve for x
    x = 138,177,309.69/12,191.82
  6. Step 6: Final answer
    x = 11,333.61

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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.