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Finding the Fourth Proportional to 27,853.42, 41,777.93 and 11,201.69

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Solution

The fourth proportional to 27,853.42, 41,777.93 and 11,201.69 is: 16,801.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,853.42 : 41,777.93 = 11,201.69 : x
  2. Step 2: Convert to fraction form
    27,853.42/41,777.93 = 11,201.69/x
  3. Step 3: Cross multiply
    27,853.42x = 41,777.93 × 11,201.69
  4. Step 4: Simplify right side
    27,853.42x = 467,983,490.14
  5. Step 5: Solve for x
    x = 467,983,490.14/27,853.42
  6. Step 6: Final answer
    x = 16,801.65

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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.