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Finding the Fourth Proportional to 13,876.96, 20,814.09 and 7,634.92

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Solution

The fourth proportional to 13,876.96, 20,814.09 and 7,634.92 is: 11,451.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,876.96 : 20,814.09 = 7,634.92 : x
  2. Step 2: Convert to fraction form
    13,876.96/20,814.09 = 7,634.92/x
  3. Step 3: Cross multiply
    13,876.96x = 20,814.09 × 7,634.92
  4. Step 4: Simplify right side
    13,876.96x = 158,913,912.02
  5. Step 5: Solve for x
    x = 158,913,912.02/13,876.96
  6. Step 6: Final answer
    x = 11,451.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.