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Finding the Fourth Proportional to 13,615.22, 20,408.31 and 7,759.22

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Solution

The fourth proportional to 13,615.22, 20,408.31 and 7,759.22 is: 11,630.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,615.22 : 20,408.31 = 7,759.22 : x
  2. Step 2: Convert to fraction form
    13,615.22/20,408.31 = 7,759.22/x
  3. Step 3: Cross multiply
    13,615.22x = 20,408.31 × 7,759.22
  4. Step 4: Simplify right side
    13,615.22x = 158,352,567.12
  5. Step 5: Solve for x
    x = 158,352,567.12/13,615.22
  6. Step 6: Final answer
    x = 11,630.56

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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.