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Finding the Fourth Proportional to 27,844.00, 41,765.99 and 8,124.14

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Solution

The fourth proportional to 27,844.00, 41,765.99 and 8,124.14 is: 12,186.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,844.00 : 41,765.99 = 8,124.14 : x
  2. Step 2: Convert to fraction form
    27,844.00/41,765.99 = 8,124.14/x
  3. Step 3: Cross multiply
    27,844.00x = 41,765.99 × 8,124.14
  4. Step 4: Simplify right side
    27,844.00x = 339,312,813.79
  5. Step 5: Solve for x
    x = 339,312,813.79/27,844.00
  6. Step 6: Final answer
    x = 12,186.21

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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.