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Finding the Fourth Proportional to 27,696.96, 38,222.46 and 15,121.80

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Solution

The fourth proportional to 27,696.96, 38,222.46 and 15,121.80 is: 20,868.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,696.96 : 38,222.46 = 15,121.80 : x
  2. Step 2: Convert to fraction form
    27,696.96/38,222.46 = 15,121.80/x
  3. Step 3: Cross multiply
    27,696.96x = 38,222.46 × 15,121.80
  4. Step 4: Simplify right side
    27,696.96x = 577,992,395.63
  5. Step 5: Solve for x
    x = 577,992,395.63/27,696.96
  6. Step 6: Final answer
    x = 20,868.44

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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.