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Finding the Fourth Proportional to 23,172.94, 34,768.11 and 10,698.94

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Solution

The fourth proportional to 23,172.94, 34,768.11 and 10,698.94 is: 16,052.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,172.94 : 34,768.11 = 10,698.94 : x
  2. Step 2: Convert to fraction form
    23,172.94/34,768.11 = 10,698.94/x
  3. Step 3: Cross multiply
    23,172.94x = 34,768.11 × 10,698.94
  4. Step 4: Simplify right side
    23,172.94x = 371,981,922.80
  5. Step 5: Solve for x
    x = 371,981,922.80/23,172.94
  6. Step 6: Final answer
    x = 16,052.43

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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.