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Finding the Fourth Proportional to 13,794.54, 20,675.60 and 6,383.35

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Solution

The fourth proportional to 13,794.54, 20,675.60 and 6,383.35 is: 9,567.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794.54 : 20,675.60 = 6,383.35 : x
  2. Step 2: Convert to fraction form
    13,794.54/20,675.60 = 6,383.35/x
  3. Step 3: Cross multiply
    13,794.54x = 20,675.60 × 6,383.35
  4. Step 4: Simplify right side
    13,794.54x = 131,979,591.26
  5. Step 5: Solve for x
    x = 131,979,591.26/13,794.54
  6. Step 6: Final answer
    x = 9,567.52

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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.