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Finding the Fourth Proportional to 23,324.94, 34,958.10 and 18,375

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Solution

The fourth proportional to 23,324.94, 34,958.10 and 18,375 is: 27,539.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,324.94 : 34,958.10 = 18,375 : x
  2. Step 2: Convert to fraction form
    23,324.94/34,958.10 = 18,375/x
  3. Step 3: Cross multiply
    23,324.94x = 34,958.10 × 18,375
  4. Step 4: Simplify right side
    23,324.94x = 642,355,087.50
  5. Step 5: Solve for x
    x = 642,355,087.50/23,324.94
  6. Step 6: Final answer
    x = 27,539.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.