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Finding the Fourth Proportional to 26,553.44, 39,828.72 and 8,084

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Solution

The fourth proportional to 26,553.44, 39,828.72 and 8,084 is: 12,125.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,553.44 : 39,828.72 = 8,084 : x
  2. Step 2: Convert to fraction form
    26,553.44/39,828.72 = 8,084/x
  3. Step 3: Cross multiply
    26,553.44x = 39,828.72 × 8,084
  4. Step 4: Simplify right side
    26,553.44x = 321,975,372.48
  5. Step 5: Solve for x
    x = 321,975,372.48/26,553.44
  6. Step 6: Final answer
    x = 12,125.56

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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.