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Finding the Fourth Proportional to 13,161.50, 18,162.36 and 7,193.38

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Solution

The fourth proportional to 13,161.50, 18,162.36 and 7,193.38 is: 9,926.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,161.50 : 18,162.36 = 7,193.38 : x
  2. Step 2: Convert to fraction form
    13,161.50/18,162.36 = 7,193.38/x
  3. Step 3: Cross multiply
    13,161.50x = 18,162.36 × 7,193.38
  4. Step 4: Simplify right side
    13,161.50x = 130,648,757.18
  5. Step 5: Solve for x
    x = 130,648,757.18/13,161.50
  6. Step 6: Final answer
    x = 9,926.59

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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.