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Finding the Fourth Proportional to 26,754.24, 40,156 and 13,616

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Solution

The fourth proportional to 26,754.24, 40,156 and 13,616 is: 20,436.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,754.24 : 40,156 = 13,616 : x
  2. Step 2: Convert to fraction form
    26,754.24/40,156 = 13,616/x
  3. Step 3: Cross multiply
    26,754.24x = 40,156 × 13,616
  4. Step 4: Simplify right side
    26,754.24x = 546,764,096
  5. Step 5: Solve for x
    x = 546,764,096/26,754.24
  6. Step 6: Final answer
    x = 20,436.54

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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.