Home / 13,204-18,231.24-9,004.96

Finding the Fourth Proportional to 13,204, 18,231.24 and 9,004.96

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Solution

The fourth proportional to 13,204, 18,231.24 and 9,004.96 is: 12,433.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204 : 18,231.24 = 9,004.96 : x
  2. Step 2: Convert to fraction form
    13,204/18,231.24 = 9,004.96/x
  3. Step 3: Cross multiply
    13,204x = 18,231.24 × 9,004.96
  4. Step 4: Simplify right side
    13,204x = 164,171,586.95
  5. Step 5: Solve for x
    x = 164,171,586.95/13,204
  6. Step 6: Final answer
    x = 12,433.47

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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.