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Finding the Fourth Proportional to 21,758.38, 30,021.42 and 12,806.26

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Solution

The fourth proportional to 21,758.38, 30,021.42 and 12,806.26 is: 17,669.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,758.38 : 30,021.42 = 12,806.26 : x
  2. Step 2: Convert to fraction form
    21,758.38/30,021.42 = 12,806.26/x
  3. Step 3: Cross multiply
    21,758.38x = 30,021.42 × 12,806.26
  4. Step 4: Simplify right side
    21,758.38x = 384,462,110.09
  5. Step 5: Solve for x
    x = 384,462,110.09/21,758.38
  6. Step 6: Final answer
    x = 17,669.61

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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.