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Finding the Fourth Proportional to 27,771.76, 41,662.19 and 8,797.69

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Solution

The fourth proportional to 27,771.76, 41,662.19 and 8,797.69 is: 13,197.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,771.76 : 41,662.19 = 8,797.69 : x
  2. Step 2: Convert to fraction form
    27,771.76/41,662.19 = 8,797.69/x
  3. Step 3: Cross multiply
    27,771.76x = 41,662.19 × 8,797.69
  4. Step 4: Simplify right side
    27,771.76x = 366,531,032.34
  5. Step 5: Solve for x
    x = 366,531,032.34/27,771.76
  6. Step 6: Final answer
    x = 13,197.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.