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Finding the Fourth Proportional to 12,251.67, 18,377.74 and 3,486.81

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Solution

The fourth proportional to 12,251.67, 18,377.74 and 3,486.81 is: 5,230.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,251.67 : 18,377.74 = 3,486.81 : x
  2. Step 2: Convert to fraction form
    12,251.67/18,377.74 = 3,486.81/x
  3. Step 3: Cross multiply
    12,251.67x = 18,377.74 × 3,486.81
  4. Step 4: Simplify right side
    12,251.67x = 64,079,741.27
  5. Step 5: Solve for x
    x = 64,079,741.27/12,251.67
  6. Step 6: Final answer
    x = 5,230.29

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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.