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Finding the Fourth Proportional to 21,238.44, 29,309.94 and 11,806.44

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Solution

The fourth proportional to 21,238.44, 29,309.94 and 11,806.44 is: 16,293.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,238.44 : 29,309.94 = 11,806.44 : x
  2. Step 2: Convert to fraction form
    21,238.44/29,309.94 = 11,806.44/x
  3. Step 3: Cross multiply
    21,238.44x = 29,309.94 × 11,806.44
  4. Step 4: Simplify right side
    21,238.44x = 346,046,048.01
  5. Step 5: Solve for x
    x = 346,046,048.01/21,238.44
  6. Step 6: Final answer
    x = 16,293.38

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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.