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Finding the Fourth Proportional to 13,853.60, 20,765.68 and 6,449.44

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Solution

The fourth proportional to 13,853.60, 20,765.68 and 6,449.44 is: 9,667.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,853.60 : 20,765.68 = 6,449.44 : x
  2. Step 2: Convert to fraction form
    13,853.60/20,765.68 = 6,449.44/x
  3. Step 3: Cross multiply
    13,853.60x = 20,765.68 × 6,449.44
  4. Step 4: Simplify right side
    13,853.60x = 133,927,007.22
  5. Step 5: Solve for x
    x = 133,927,007.22/13,853.60
  6. Step 6: Final answer
    x = 9,667.31

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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.