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Finding the Fourth Proportional to 13,163.31, 19,734.23 and 5,762.14

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Solution

The fourth proportional to 13,163.31, 19,734.23 and 5,762.14 is: 8,638.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,163.31 : 19,734.23 = 5,762.14 : x
  2. Step 2: Convert to fraction form
    13,163.31/19,734.23 = 5,762.14/x
  3. Step 3: Cross multiply
    13,163.31x = 19,734.23 × 5,762.14
  4. Step 4: Simplify right side
    13,163.31x = 113,711,361.12
  5. Step 5: Solve for x
    x = 113,711,361.12/13,163.31
  6. Step 6: Final answer
    x = 8,638.51

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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.