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Finding the Fourth Proportional to 18,233.10, 27,361.96 and 7,138.40

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Solution

The fourth proportional to 18,233.10, 27,361.96 and 7,138.40 is: 10,712.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,233.10 : 27,361.96 = 7,138.40 : x
  2. Step 2: Convert to fraction form
    18,233.10/27,361.96 = 7,138.40/x
  3. Step 3: Cross multiply
    18,233.10x = 27,361.96 × 7,138.40
  4. Step 4: Simplify right side
    18,233.10x = 195,320,615.26
  5. Step 5: Solve for x
    x = 195,320,615.26/18,233.10
  6. Step 6: Final answer
    x = 10,712.42

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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.