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Finding the Fourth Proportional to 27,692.48, 41,540.16 and 16,670

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Solution

The fourth proportional to 27,692.48, 41,540.16 and 16,670 is: 25,005.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,692.48 : 41,540.16 = 16,670 : x
  2. Step 2: Convert to fraction form
    27,692.48/41,540.16 = 16,670/x
  3. Step 3: Cross multiply
    27,692.48x = 41,540.16 × 16,670
  4. Step 4: Simplify right side
    27,692.48x = 692,474,467.20
  5. Step 5: Solve for x
    x = 692,474,467.20/27,692.48
  6. Step 6: Final answer
    x = 25,005.87

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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.