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Finding the Fourth Proportional to 11,874.06, 16,375.36 and 10,194.93

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Solution

The fourth proportional to 11,874.06, 16,375.36 and 10,194.93 is: 14,059.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.06 : 16,375.36 = 10,194.93 : x
  2. Step 2: Convert to fraction form
    11,874.06/16,375.36 = 10,194.93/x
  3. Step 3: Cross multiply
    11,874.06x = 16,375.36 × 10,194.93
  4. Step 4: Simplify right side
    11,874.06x = 166,945,648.92
  5. Step 5: Solve for x
    x = 166,945,648.92/11,874.06
  6. Step 6: Final answer
    x = 14,059.69

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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.