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Finding the Fourth Proportional to 18,617.96, 27,923.76 and 6,138.12

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Solution

The fourth proportional to 18,617.96, 27,923.76 and 6,138.12 is: 9,206.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,617.96 : 27,923.76 = 6,138.12 : x
  2. Step 2: Convert to fraction form
    18,617.96/27,923.76 = 6,138.12/x
  3. Step 3: Cross multiply
    18,617.96x = 27,923.76 × 6,138.12
  4. Step 4: Simplify right side
    18,617.96x = 171,399,389.73
  5. Step 5: Solve for x
    x = 171,399,389.73/18,617.96
  6. Step 6: Final answer
    x = 9,206.13

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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.