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Finding the Fourth Proportional to 13,793.22, 20,675.34 and 6,763.50

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Solution

The fourth proportional to 13,793.22, 20,675.34 and 6,763.50 is: 10,138.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.22 : 20,675.34 = 6,763.50 : x
  2. Step 2: Convert to fraction form
    13,793.22/20,675.34 = 6,763.50/x
  3. Step 3: Cross multiply
    13,793.22x = 20,675.34 × 6,763.50
  4. Step 4: Simplify right side
    13,793.22x = 139,837,662.09
  5. Step 5: Solve for x
    x = 139,837,662.09/13,793.22
  6. Step 6: Final answer
    x = 10,138.14

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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.