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Finding the Fourth Proportional to 30,163.17, 41,625.84 and 16,734

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Solution

The fourth proportional to 30,163.17, 41,625.84 and 16,734 is: 23,093.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,163.17 : 41,625.84 = 16,734 : x
  2. Step 2: Convert to fraction form
    30,163.17/41,625.84 = 16,734/x
  3. Step 3: Cross multiply
    30,163.17x = 41,625.84 × 16,734
  4. Step 4: Simplify right side
    30,163.17x = 696,566,806.56
  5. Step 5: Solve for x
    x = 696,566,806.56/30,163.17
  6. Step 6: Final answer
    x = 23,093.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.