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Finding the Fourth Proportional to 12,163.22, 18,220.19 and 9,380.24

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Solution

The fourth proportional to 12,163.22, 18,220.19 and 9,380.24 is: 14,051.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,163.22 : 18,220.19 = 9,380.24 : x
  2. Step 2: Convert to fraction form
    12,163.22/18,220.19 = 9,380.24/x
  3. Step 3: Cross multiply
    12,163.22x = 18,220.19 × 9,380.24
  4. Step 4: Simplify right side
    12,163.22x = 170,909,617.04
  5. Step 5: Solve for x
    x = 170,909,617.04/12,163.22
  6. Step 6: Final answer
    x = 14,051.35

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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.