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Finding the Fourth Proportional to 27,872.36, 41,817.27 and 9,152.54

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Solution

The fourth proportional to 27,872.36, 41,817.27 and 9,152.54 is: 13,731.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,872.36 : 41,817.27 = 9,152.54 : x
  2. Step 2: Convert to fraction form
    27,872.36/41,817.27 = 9,152.54/x
  3. Step 3: Cross multiply
    27,872.36x = 41,817.27 × 9,152.54
  4. Step 4: Simplify right side
    27,872.36x = 382,734,236.37
  5. Step 5: Solve for x
    x = 382,734,236.37/27,872.36
  6. Step 6: Final answer
    x = 13,731.68

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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.