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Finding the Fourth Proportional to 13,878.87, 20,814.83 and 5,447.08

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Solution

The fourth proportional to 13,878.87, 20,814.83 and 5,447.08 is: 8,169.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878.87 : 20,814.83 = 5,447.08 : x
  2. Step 2: Convert to fraction form
    13,878.87/20,814.83 = 5,447.08/x
  3. Step 3: Cross multiply
    13,878.87x = 20,814.83 × 5,447.08
  4. Step 4: Simplify right side
    13,878.87x = 113,380,044.20
  5. Step 5: Solve for x
    x = 113,380,044.20/13,878.87
  6. Step 6: Final answer
    x = 8,169.26

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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.