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Finding the Fourth Proportional to 21,093.06, 29,107.26 and 11,661

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Solution

The fourth proportional to 21,093.06, 29,107.26 and 11,661 is: 16,091.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,093.06 : 29,107.26 = 11,661 : x
  2. Step 2: Convert to fraction form
    21,093.06/29,107.26 = 11,661/x
  3. Step 3: Cross multiply
    21,093.06x = 29,107.26 × 11,661
  4. Step 4: Simplify right side
    21,093.06x = 339,419,758.86
  5. Step 5: Solve for x
    x = 339,419,758.86/21,093.06
  6. Step 6: Final answer
    x = 16,091.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.