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Finding the Fourth Proportional to 27,636.44, 41,456.07 and 7,917.89

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Solution

The fourth proportional to 27,636.44, 41,456.07 and 7,917.89 is: 11,877.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,636.44 : 41,456.07 = 7,917.89 : x
  2. Step 2: Convert to fraction form
    27,636.44/41,456.07 = 7,917.89/x
  3. Step 3: Cross multiply
    27,636.44x = 41,456.07 × 7,917.89
  4. Step 4: Simplify right side
    27,636.44x = 328,244,394.81
  5. Step 5: Solve for x
    x = 328,244,394.81/27,636.44
  6. Step 6: Final answer
    x = 11,877.23

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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.