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Finding the Fourth Proportional to 13,161.90, 18,163.38 and 7,193.18

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Solution

The fourth proportional to 13,161.90, 18,163.38 and 7,193.18 is: 9,926.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,161.90 : 18,163.38 = 7,193.18 : x
  2. Step 2: Convert to fraction form
    13,161.90/18,163.38 = 7,193.18/x
  3. Step 3: Cross multiply
    13,161.90x = 18,163.38 × 7,193.18
  4. Step 4: Simplify right side
    13,161.90x = 130,652,461.75
  5. Step 5: Solve for x
    x = 130,652,461.75/13,161.90
  6. Step 6: Final answer
    x = 9,926.57

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Why These Related Problems?

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