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Finding the Fourth Proportional to 14,811, 22,198.32 and 7,003.68

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Solution

The fourth proportional to 14,811, 22,198.32 and 7,003.68 is: 10,496.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,811 : 22,198.32 = 7,003.68 : x
  2. Step 2: Convert to fraction form
    14,811/22,198.32 = 7,003.68/x
  3. Step 3: Cross multiply
    14,811x = 22,198.32 × 7,003.68
  4. Step 4: Simplify right side
    14,811x = 155,469,929.82
  5. Step 5: Solve for x
    x = 155,469,929.82/14,811
  6. Step 6: Final answer
    x = 10,496.92

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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.