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Finding the Fourth Proportional to 18,500.20, 27,767.70 and 9,741.40

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Solution

The fourth proportional to 18,500.20, 27,767.70 and 9,741.40 is: 14,621.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,500.20 : 27,767.70 = 9,741.40 : x
  2. Step 2: Convert to fraction form
    18,500.20/27,767.70 = 9,741.40/x
  3. Step 3: Cross multiply
    18,500.20x = 27,767.70 × 9,741.40
  4. Step 4: Simplify right side
    18,500.20x = 270,496,272.78
  5. Step 5: Solve for x
    x = 270,496,272.78/18,500.20
  6. Step 6: Final answer
    x = 14,621.26

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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.