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Finding the Fourth Proportional to 27,786.21, 41,682.06 and 9,065.49

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Solution

The fourth proportional to 27,786.21, 41,682.06 and 9,065.49 is: 13,599.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,786.21 : 41,682.06 = 9,065.49 : x
  2. Step 2: Convert to fraction form
    27,786.21/41,682.06 = 9,065.49/x
  3. Step 3: Cross multiply
    27,786.21x = 41,682.06 × 9,065.49
  4. Step 4: Simplify right side
    27,786.21x = 377,868,141.80
  5. Step 5: Solve for x
    x = 377,868,141.80/27,786.21
  6. Step 6: Final answer
    x = 13,599.13

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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.