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Finding the Fourth Proportional to 12,153.80, 18,233.28 and 3,836.22

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Solution

The fourth proportional to 12,153.80, 18,233.28 and 3,836.22 is: 5,755.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,153.80 : 18,233.28 = 3,836.22 : x
  2. Step 2: Convert to fraction form
    12,153.80/18,233.28 = 3,836.22/x
  3. Step 3: Cross multiply
    12,153.80x = 18,233.28 × 3,836.22
  4. Step 4: Simplify right side
    12,153.80x = 69,946,873.40
  5. Step 5: Solve for x
    x = 69,946,873.40/12,153.80
  6. Step 6: Final answer
    x = 5,755.14

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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.