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Finding the Fourth Proportional to 13,874.10, 19,147.68 and 7,906.86

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Solution

The fourth proportional to 13,874.10, 19,147.68 and 7,906.86 is: 10,912.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.10 : 19,147.68 = 7,906.86 : x
  2. Step 2: Convert to fraction form
    13,874.10/19,147.68 = 7,906.86/x
  3. Step 3: Cross multiply
    13,874.10x = 19,147.68 × 7,906.86
  4. Step 4: Simplify right side
    13,874.10x = 151,398,025.08
  5. Step 5: Solve for x
    x = 151,398,025.08/13,874.10
  6. Step 6: Final answer
    x = 10,912.28

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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.