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Finding the Fourth Proportional to 13,170.14, 18,174.81 and 7,201.83

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Solution

The fourth proportional to 13,170.14, 18,174.81 and 7,201.83 is: 9,938.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,170.14 : 18,174.81 = 7,201.83 : x
  2. Step 2: Convert to fraction form
    13,170.14/18,174.81 = 7,201.83/x
  3. Step 3: Cross multiply
    13,170.14x = 18,174.81 × 7,201.83
  4. Step 4: Simplify right side
    13,170.14x = 130,891,891.90
  5. Step 5: Solve for x
    x = 130,891,891.90/13,170.14
  6. Step 6: Final answer
    x = 9,938.54

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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.