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Finding the Fourth Proportional to 13,201.72, 18,218.32 and 7,233.38

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Solution

The fourth proportional to 13,201.72, 18,218.32 and 7,233.38 is: 9,982.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201.72 : 18,218.32 = 7,233.38 : x
  2. Step 2: Convert to fraction form
    13,201.72/18,218.32 = 7,233.38/x
  3. Step 3: Cross multiply
    13,201.72x = 18,218.32 × 7,233.38
  4. Step 4: Simplify right side
    13,201.72x = 131,780,031.52
  5. Step 5: Solve for x
    x = 131,780,031.52/13,201.72
  6. Step 6: Final answer
    x = 9,982.04

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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.