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Finding the Fourth Proportional to 17,665.38, 24,399.81 and 13,208.94

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Solution

The fourth proportional to 17,665.38, 24,399.81 and 13,208.94 is: 18,244.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,665.38 : 24,399.81 = 13,208.94 : x
  2. Step 2: Convert to fraction form
    17,665.38/24,399.81 = 13,208.94/x
  3. Step 3: Cross multiply
    17,665.38x = 24,399.81 × 13,208.94
  4. Step 4: Simplify right side
    17,665.38x = 322,295,626.30
  5. Step 5: Solve for x
    x = 322,295,626.30/17,665.38
  6. Step 6: Final answer
    x = 18,244.48

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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.