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Finding the Fourth Proportional to 13,765.82, 20,617.50 and 8,768.22

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Solution

The fourth proportional to 13,765.82, 20,617.50 and 8,768.22 is: 13,132.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.82 : 20,617.50 = 8,768.22 : x
  2. Step 2: Convert to fraction form
    13,765.82/20,617.50 = 8,768.22/x
  3. Step 3: Cross multiply
    13,765.82x = 20,617.50 × 8,768.22
  4. Step 4: Simplify right side
    13,765.82x = 180,778,775.85
  5. Step 5: Solve for x
    x = 180,778,775.85/13,765.82
  6. Step 6: Final answer
    x = 13,132.44

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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.