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Finding the Fourth Proportional to 13,485.29, 20,214.11 and 5,163.14

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Solution

The fourth proportional to 13,485.29, 20,214.11 and 5,163.14 is: 7,739.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,485.29 : 20,214.11 = 5,163.14 : x
  2. Step 2: Convert to fraction form
    13,485.29/20,214.11 = 5,163.14/x
  3. Step 3: Cross multiply
    13,485.29x = 20,214.11 × 5,163.14
  4. Step 4: Simplify right side
    13,485.29x = 104,368,314.31
  5. Step 5: Solve for x
    x = 104,368,314.31/13,485.29
  6. Step 6: Final answer
    x = 7,739.42

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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.