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Finding the Fourth Proportional to 13,846.06, 20,751.81 and 6,922.54

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Solution

The fourth proportional to 13,846.06, 20,751.81 and 6,922.54 is: 10,375.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,846.06 : 20,751.81 = 6,922.54 : x
  2. Step 2: Convert to fraction form
    13,846.06/20,751.81 = 6,922.54/x
  3. Step 3: Cross multiply
    13,846.06x = 20,751.81 × 6,922.54
  4. Step 4: Simplify right side
    13,846.06x = 143,655,234.80
  5. Step 5: Solve for x
    x = 143,655,234.80/13,846.06
  6. Step 6: Final answer
    x = 10,375.17

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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.