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Finding the Fourth Proportional to 14,315.75, 19,755.03 and 7,942.59

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Solution

The fourth proportional to 14,315.75, 19,755.03 and 7,942.59 is: 10,960.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,315.75 : 19,755.03 = 7,942.59 : x
  2. Step 2: Convert to fraction form
    14,315.75/19,755.03 = 7,942.59/x
  3. Step 3: Cross multiply
    14,315.75x = 19,755.03 × 7,942.59
  4. Step 4: Simplify right side
    14,315.75x = 156,906,103.73
  5. Step 5: Solve for x
    x = 156,906,103.73/14,315.75
  6. Step 6: Final answer
    x = 10,960.38

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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.