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Finding the Fourth Proportional to 22,846.00, 34,260.49 and 7,850.01

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Solution

The fourth proportional to 22,846.00, 34,260.49 and 7,850.01 is: 11,772.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,846.00 : 34,260.49 = 7,850.01 : x
  2. Step 2: Convert to fraction form
    22,846.00/34,260.49 = 7,850.01/x
  3. Step 3: Cross multiply
    22,846.00x = 34,260.49 × 7,850.01
  4. Step 4: Simplify right side
    22,846.00x = 268,945,149.85
  5. Step 5: Solve for x
    x = 268,945,149.85/22,846.00
  6. Step 6: Final answer
    x = 11,772.09

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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.