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Finding the Fourth Proportional to 12,134.09, 16,745.75 and 8,093.93

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Solution

The fourth proportional to 12,134.09, 16,745.75 and 8,093.93 is: 11,170.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,134.09 : 16,745.75 = 8,093.93 : x
  2. Step 2: Convert to fraction form
    12,134.09/16,745.75 = 8,093.93/x
  3. Step 3: Cross multiply
    12,134.09x = 16,745.75 × 8,093.93
  4. Step 4: Simplify right side
    12,134.09x = 135,538,887.83
  5. Step 5: Solve for x
    x = 135,538,887.83/12,134.09
  6. Step 6: Final answer
    x = 11,170.09

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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.