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Finding the Fourth Proportional to 13,794.63, 20,675.75 and 6,383.44

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Solution

The fourth proportional to 13,794.63, 20,675.75 and 6,383.44 is: 9,567.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794.63 : 20,675.75 = 6,383.44 : x
  2. Step 2: Convert to fraction form
    13,794.63/20,675.75 = 6,383.44/x
  3. Step 3: Cross multiply
    13,794.63x = 20,675.75 × 6,383.44
  4. Step 4: Simplify right side
    13,794.63x = 131,982,409.58
  5. Step 5: Solve for x
    x = 131,982,409.58/13,794.63
  6. Step 6: Final answer
    x = 9,567.67

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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.