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Finding the Fourth Proportional to 14,107.14, 19,469.25 and 7,820.73

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Solution

The fourth proportional to 14,107.14, 19,469.25 and 7,820.73 is: 10,793.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,107.14 : 19,469.25 = 7,820.73 : x
  2. Step 2: Convert to fraction form
    14,107.14/19,469.25 = 7,820.73/x
  3. Step 3: Cross multiply
    14,107.14x = 19,469.25 × 7,820.73
  4. Step 4: Simplify right side
    14,107.14x = 152,263,747.55
  5. Step 5: Solve for x
    x = 152,263,747.55/14,107.14
  6. Step 6: Final answer
    x = 10,793.38

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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.