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Finding the Fourth Proportional to 27,786.82, 41,684.56 and 9,314.50

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Solution

The fourth proportional to 27,786.82, 41,684.56 and 9,314.50 is: 13,973.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,786.82 : 41,684.56 = 9,314.50 : x
  2. Step 2: Convert to fraction form
    27,786.82/41,684.56 = 9,314.50/x
  3. Step 3: Cross multiply
    27,786.82x = 41,684.56 × 9,314.50
  4. Step 4: Simplify right side
    27,786.82x = 388,270,834.12
  5. Step 5: Solve for x
    x = 388,270,834.12/27,786.82
  6. Step 6: Final answer
    x = 13,973.20

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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.