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Finding the Fourth Proportional to 13,601.16, 20,387.34 and 7,745.22

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Solution

The fourth proportional to 13,601.16, 20,387.34 and 7,745.22 is: 11,609.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,601.16 : 20,387.34 = 7,745.22 : x
  2. Step 2: Convert to fraction form
    13,601.16/20,387.34 = 7,745.22/x
  3. Step 3: Cross multiply
    13,601.16x = 20,387.34 × 7,745.22
  4. Step 4: Simplify right side
    13,601.16x = 157,904,433.51
  5. Step 5: Solve for x
    x = 157,904,433.51/13,601.16
  6. Step 6: Final answer
    x = 11,609.63

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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.