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Finding the Fourth Proportional to 27,365.25, 41,053.41 and 9,836.49

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Solution

The fourth proportional to 27,365.25, 41,053.41 and 9,836.49 is: 14,756.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,365.25 : 41,053.41 = 9,836.49 : x
  2. Step 2: Convert to fraction form
    27,365.25/41,053.41 = 9,836.49/x
  3. Step 3: Cross multiply
    27,365.25x = 41,053.41 × 9,836.49
  4. Step 4: Simplify right side
    27,365.25x = 403,821,456.93
  5. Step 5: Solve for x
    x = 403,821,456.93/27,365.25
  6. Step 6: Final answer
    x = 14,756.72

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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.