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Finding the Fourth Proportional to 13,181.37, 18,190.74 and 7,516.97

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Solution

The fourth proportional to 13,181.37, 18,190.74 and 7,516.97 is: 10,373.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,181.37 : 18,190.74 = 7,516.97 : x
  2. Step 2: Convert to fraction form
    13,181.37/18,190.74 = 7,516.97/x
  3. Step 3: Cross multiply
    13,181.37x = 18,190.74 × 7,516.97
  4. Step 4: Simplify right side
    13,181.37x = 136,739,201.38
  5. Step 5: Solve for x
    x = 136,739,201.38/13,181.37
  6. Step 6: Final answer
    x = 10,373.68

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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.