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Finding the Fourth Proportional to 11,905.81, 16,426.69 and 9,380.09

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Solution

The fourth proportional to 11,905.81, 16,426.69 and 9,380.09 is: 12,941.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,905.81 : 16,426.69 = 9,380.09 : x
  2. Step 2: Convert to fraction form
    11,905.81/16,426.69 = 9,380.09/x
  3. Step 3: Cross multiply
    11,905.81x = 16,426.69 × 9,380.09
  4. Step 4: Simplify right side
    11,905.81x = 154,083,786.62
  5. Step 5: Solve for x
    x = 154,083,786.62/11,905.81
  6. Step 6: Final answer
    x = 12,941.90

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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.