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Finding the Fourth Proportional to 13,163.85, 18,165.87 and 7,195.23

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Solution

The fourth proportional to 13,163.85, 18,165.87 and 7,195.23 is: 9,929.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,163.85 : 18,165.87 = 7,195.23 : x
  2. Step 2: Convert to fraction form
    13,163.85/18,165.87 = 7,195.23/x
  3. Step 3: Cross multiply
    13,163.85x = 18,165.87 × 7,195.23
  4. Step 4: Simplify right side
    13,163.85x = 130,707,612.80
  5. Step 5: Solve for x
    x = 130,707,612.80/13,163.85
  6. Step 6: Final answer
    x = 9,929.28

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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.