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Finding the Fourth Proportional to 13,422.11, 20,133.18 and 5,100.17

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Solution

The fourth proportional to 13,422.11, 20,133.18 and 5,100.17 is: 7,650.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.11 : 20,133.18 = 5,100.17 : x
  2. Step 2: Convert to fraction form
    13,422.11/20,133.18 = 5,100.17/x
  3. Step 3: Cross multiply
    13,422.11x = 20,133.18 × 5,100.17
  4. Step 4: Simplify right side
    13,422.11x = 102,682,640.64
  5. Step 5: Solve for x
    x = 102,682,640.64/13,422.11
  6. Step 6: Final answer
    x = 7,650.26

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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.