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Finding the Fourth Proportional to 13,874.14, 19,144.83 and 8,209.12

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Solution

The fourth proportional to 13,874.14, 19,144.83 and 8,209.12 is: 11,327.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.14 : 19,144.83 = 8,209.12 : x
  2. Step 2: Convert to fraction form
    13,874.14/19,144.83 = 8,209.12/x
  3. Step 3: Cross multiply
    13,874.14x = 19,144.83 × 8,209.12
  4. Step 4: Simplify right side
    13,874.14x = 157,162,256.42
  5. Step 5: Solve for x
    x = 157,162,256.42/13,874.14
  6. Step 6: Final answer
    x = 11,327.72

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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.