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Finding the Fourth Proportional to 27,523.52, 41,285.28 and 11,096

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Solution

The fourth proportional to 27,523.52, 41,285.28 and 11,096 is: 16,644

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,523.52 : 41,285.28 = 11,096 : x
  2. Step 2: Convert to fraction form
    27,523.52/41,285.28 = 11,096/x
  3. Step 3: Cross multiply
    27,523.52x = 41,285.28 × 11,096
  4. Step 4: Simplify right side
    27,523.52x = 458,101,466.88
  5. Step 5: Solve for x
    x = 458,101,466.88/27,523.52
  6. Step 6: Final answer
    x = 16,644

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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.