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Finding the Fourth Proportional to 27,794.67, 41,697.26 and 11,156.01

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Solution

The fourth proportional to 27,794.67, 41,697.26 and 11,156.01 is: 16,736.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,794.67 : 41,697.26 = 11,156.01 : x
  2. Step 2: Convert to fraction form
    27,794.67/41,697.26 = 11,156.01/x
  3. Step 3: Cross multiply
    27,794.67x = 41,697.26 × 11,156.01
  4. Step 4: Simplify right side
    27,794.67x = 465,174,993.75
  5. Step 5: Solve for x
    x = 465,174,993.75/27,794.67
  6. Step 6: Final answer
    x = 16,736.12

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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.