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Finding the Fourth Proportional to 20,534.67, 28,296 and 14,163.21

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Solution

The fourth proportional to 20,534.67, 28,296 and 14,163.21 is: 19,516.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,534.67 : 28,296 = 14,163.21 : x
  2. Step 2: Convert to fraction form
    20,534.67/28,296 = 14,163.21/x
  3. Step 3: Cross multiply
    20,534.67x = 28,296 × 14,163.21
  4. Step 4: Simplify right side
    20,534.67x = 400,762,190.16
  5. Step 5: Solve for x
    x = 400,762,190.16/20,534.67
  6. Step 6: Final answer
    x = 19,516.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.