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Finding the Fourth Proportional to 27,662.69, 38,177.73 and 15,727.82

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Solution

The fourth proportional to 27,662.69, 38,177.73 and 15,727.82 is: 21,706.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,662.69 : 38,177.73 = 15,727.82 : x
  2. Step 2: Convert to fraction form
    27,662.69/38,177.73 = 15,727.82/x
  3. Step 3: Cross multiply
    27,662.69x = 38,177.73 × 15,727.82
  4. Step 4: Simplify right side
    27,662.69x = 600,452,274.56
  5. Step 5: Solve for x
    x = 600,452,274.56/27,662.69
  6. Step 6: Final answer
    x = 21,706.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.