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Finding the Fourth Proportional to 13,349.38, 18,420.73 and 7,380.09

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Solution

The fourth proportional to 13,349.38, 18,420.73 and 7,380.09 is: 10,183.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,349.38 : 18,420.73 = 7,380.09 : x
  2. Step 2: Convert to fraction form
    13,349.38/18,420.73 = 7,380.09/x
  3. Step 3: Cross multiply
    13,349.38x = 18,420.73 × 7,380.09
  4. Step 4: Simplify right side
    13,349.38x = 135,946,645.27
  5. Step 5: Solve for x
    x = 135,946,645.27/13,349.38
  6. Step 6: Final answer
    x = 10,183.74

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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.