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Finding the Fourth Proportional to 13,739.22, 20,592 and 7,867.26

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Solution

The fourth proportional to 13,739.22, 20,592 and 7,867.26 is: 11,791.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,739.22 : 20,592 = 7,867.26 : x
  2. Step 2: Convert to fraction form
    13,739.22/20,592 = 7,867.26/x
  3. Step 3: Cross multiply
    13,739.22x = 20,592 × 7,867.26
  4. Step 4: Simplify right side
    13,739.22x = 162,002,617.92
  5. Step 5: Solve for x
    x = 162,002,617.92/13,739.22
  6. Step 6: Final answer
    x = 11,791.25

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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.