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Finding the Fourth Proportional to 27,194.36, 40,786.66 and 7,470.36

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Solution

The fourth proportional to 27,194.36, 40,786.66 and 7,470.36 is: 11,204.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,194.36 : 40,786.66 = 7,470.36 : x
  2. Step 2: Convert to fraction form
    27,194.36/40,786.66 = 7,470.36/x
  3. Step 3: Cross multiply
    27,194.36x = 40,786.66 × 7,470.36
  4. Step 4: Simplify right side
    27,194.36x = 304,691,033.40
  5. Step 5: Solve for x
    x = 304,691,033.40/27,194.36
  6. Step 6: Final answer
    x = 11,204.20

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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.