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Finding the Fourth Proportional to 27,524.02, 41,286.03 and 11,096.50

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Solution

The fourth proportional to 27,524.02, 41,286.03 and 11,096.50 is: 16,644.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,524.02 : 41,286.03 = 11,096.50 : x
  2. Step 2: Convert to fraction form
    27,524.02/41,286.03 = 11,096.50/x
  3. Step 3: Cross multiply
    27,524.02x = 41,286.03 × 11,096.50
  4. Step 4: Simplify right side
    27,524.02x = 458,130,431.90
  5. Step 5: Solve for x
    x = 458,130,431.90/27,524.02
  6. Step 6: Final answer
    x = 16,644.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.