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Finding the Fourth Proportional to 18,564.96, 27,847.43 and 6,715.97

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Solution

The fourth proportional to 18,564.96, 27,847.43 and 6,715.97 is: 10,073.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,564.96 : 27,847.43 = 6,715.97 : x
  2. Step 2: Convert to fraction form
    18,564.96/27,847.43 = 6,715.97/x
  3. Step 3: Cross multiply
    18,564.96x = 27,847.43 × 6,715.97
  4. Step 4: Simplify right side
    18,564.96x = 187,022,331.64
  5. Step 5: Solve for x
    x = 187,022,331.64/18,564.96
  6. Step 6: Final answer
    x = 10,073.94

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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.