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Finding the Fourth Proportional to 13,174.38, 18,180.39 and 7,206.03

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Solution

The fourth proportional to 13,174.38, 18,180.39 and 7,206.03 is: 9,944.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,174.38 : 18,180.39 = 7,206.03 : x
  2. Step 2: Convert to fraction form
    13,174.38/18,180.39 = 7,206.03/x
  3. Step 3: Cross multiply
    13,174.38x = 18,180.39 × 7,206.03
  4. Step 4: Simplify right side
    13,174.38x = 131,008,435.75
  5. Step 5: Solve for x
    x = 131,008,435.75/13,174.38
  6. Step 6: Final answer
    x = 9,944.18

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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.