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Finding the Fourth Proportional to 13,180.38, 18,190.71 and 7,439.01

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Solution

The fourth proportional to 13,180.38, 18,190.71 and 7,439.01 is: 10,266.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,180.38 : 18,190.71 = 7,439.01 : x
  2. Step 2: Convert to fraction form
    13,180.38/18,190.71 = 7,439.01/x
  3. Step 3: Cross multiply
    13,180.38x = 18,190.71 × 7,439.01
  4. Step 4: Simplify right side
    13,180.38x = 135,320,873.60
  5. Step 5: Solve for x
    x = 135,320,873.60/13,180.38
  6. Step 6: Final answer
    x = 10,266.84

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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.