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Finding the Fourth Proportional to 27,761.44, 41,642.40 and 11,122.96

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Solution

The fourth proportional to 27,761.44, 41,642.40 and 11,122.96 is: 16,684.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,761.44 : 41,642.40 = 11,122.96 : x
  2. Step 2: Convert to fraction form
    27,761.44/41,642.40 = 11,122.96/x
  3. Step 3: Cross multiply
    27,761.44x = 41,642.40 × 11,122.96
  4. Step 4: Simplify right side
    27,761.44x = 463,186,749.50
  5. Step 5: Solve for x
    x = 463,186,749.50/27,761.44
  6. Step 6: Final answer
    x = 16,684.54

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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.