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Finding the Fourth Proportional to 27,636.33, 41,454.33 and 7,914.89

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Solution

The fourth proportional to 27,636.33, 41,454.33 and 7,914.89 is: 11,872.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,636.33 : 41,454.33 = 7,914.89 : x
  2. Step 2: Convert to fraction form
    27,636.33/41,454.33 = 7,914.89/x
  3. Step 3: Cross multiply
    27,636.33x = 41,454.33 × 7,914.89
  4. Step 4: Simplify right side
    27,636.33x = 328,106,380.47
  5. Step 5: Solve for x
    x = 328,106,380.47/27,636.33
  6. Step 6: Final answer
    x = 11,872.28

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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.