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Finding the Fourth Proportional to 27,662.81, 38,177.91 and 15,727.94

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Solution

The fourth proportional to 27,662.81, 38,177.91 and 15,727.94 is: 21,706.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,662.81 : 38,177.91 = 15,727.94 : x
  2. Step 2: Convert to fraction form
    27,662.81/38,177.91 = 15,727.94/x
  3. Step 3: Cross multiply
    27,662.81x = 38,177.91 × 15,727.94
  4. Step 4: Simplify right side
    27,662.81x = 600,459,608.28
  5. Step 5: Solve for x
    x = 600,459,608.28/27,662.81
  6. Step 6: Final answer
    x = 21,706.39

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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.