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Finding the Fourth Proportional to 12,153.14, 18,229.94 and 3,833.44

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Solution

The fourth proportional to 12,153.14, 18,229.94 and 3,833.44 is: 5,750.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,153.14 : 18,229.94 = 3,833.44 : x
  2. Step 2: Convert to fraction form
    12,153.14/18,229.94 = 3,833.44/x
  3. Step 3: Cross multiply
    12,153.14x = 18,229.94 × 3,833.44
  4. Step 4: Simplify right side
    12,153.14x = 69,883,381.19
  5. Step 5: Solve for x
    x = 69,883,381.19/12,153.14
  6. Step 6: Final answer
    x = 5,750.23

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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.