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Finding the Fourth Proportional to 18,146.68, 27,213.54 and 6,297.40

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Solution

The fourth proportional to 18,146.68, 27,213.54 and 6,297.40 is: 9,443.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,146.68 : 27,213.54 = 6,297.40 : x
  2. Step 2: Convert to fraction form
    18,146.68/27,213.54 = 6,297.40/x
  3. Step 3: Cross multiply
    18,146.68x = 27,213.54 × 6,297.40
  4. Step 4: Simplify right side
    18,146.68x = 171,374,546.80
  5. Step 5: Solve for x
    x = 171,374,546.80/18,146.68
  6. Step 6: Final answer
    x = 9,443.85

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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.