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Finding the Fourth Proportional to 27,700.12, 41,571.98 and 10,174.96

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Solution

The fourth proportional to 27,700.12, 41,571.98 and 10,174.96 is: 15,270.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,700.12 : 41,571.98 = 10,174.96 : x
  2. Step 2: Convert to fraction form
    27,700.12/41,571.98 = 10,174.96/x
  3. Step 3: Cross multiply
    27,700.12x = 41,571.98 × 10,174.96
  4. Step 4: Simplify right side
    27,700.12x = 422,993,233.62
  5. Step 5: Solve for x
    x = 422,993,233.62/27,700.12
  6. Step 6: Final answer
    x = 15,270.45

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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.