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Finding the Fourth Proportional to 13,628.60, 20,447.94 and 5,843.48

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Solution

The fourth proportional to 13,628.60, 20,447.94 and 5,843.48 is: 8,767.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,628.60 : 20,447.94 = 5,843.48 : x
  2. Step 2: Convert to fraction form
    13,628.60/20,447.94 = 5,843.48/x
  3. Step 3: Cross multiply
    13,628.60x = 20,447.94 × 5,843.48
  4. Step 4: Simplify right side
    13,628.60x = 119,487,128.43
  5. Step 5: Solve for x
    x = 119,487,128.43/13,628.60
  6. Step 6: Final answer
    x = 8,767.38

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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.