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Finding the Fourth Proportional to 12,144.81, 18,218.94 and 5,905.18

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Solution

The fourth proportional to 12,144.81, 18,218.94 and 5,905.18 is: 8,858.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,144.81 : 18,218.94 = 5,905.18 : x
  2. Step 2: Convert to fraction form
    12,144.81/18,218.94 = 5,905.18/x
  3. Step 3: Cross multiply
    12,144.81x = 18,218.94 × 5,905.18
  4. Step 4: Simplify right side
    12,144.81x = 107,586,120.11
  5. Step 5: Solve for x
    x = 107,586,120.11/12,144.81
  6. Step 6: Final answer
    x = 8,858.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.