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Finding the Fourth Proportional to 13,489.44, 20,236.32 and 5,698.32

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Solution

The fourth proportional to 13,489.44, 20,236.32 and 5,698.32 is: 8,548.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,489.44 : 20,236.32 = 5,698.32 : x
  2. Step 2: Convert to fraction form
    13,489.44/20,236.32 = 5,698.32/x
  3. Step 3: Cross multiply
    13,489.44x = 20,236.32 × 5,698.32
  4. Step 4: Simplify right side
    13,489.44x = 115,313,026.98
  5. Step 5: Solve for x
    x = 115,313,026.98/13,489.44
  6. Step 6: Final answer
    x = 8,548.39

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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.