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Finding the Fourth Proportional to 13,311.69, 18,371.22 and 7,344

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Solution

The fourth proportional to 13,311.69, 18,371.22 and 7,344 is: 10,135.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,311.69 : 18,371.22 = 7,344 : x
  2. Step 2: Convert to fraction form
    13,311.69/18,371.22 = 7,344/x
  3. Step 3: Cross multiply
    13,311.69x = 18,371.22 × 7,344
  4. Step 4: Simplify right side
    13,311.69x = 134,918,239.68
  5. Step 5: Solve for x
    x = 134,918,239.68/13,311.69
  6. Step 6: Final answer
    x = 10,135.32

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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.