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Finding the Fourth Proportional to 27,462, 41,194.62 and 8,994

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Solution

The fourth proportional to 27,462, 41,194.62 and 8,994 is: 13,491.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,462 : 41,194.62 = 8,994 : x
  2. Step 2: Convert to fraction form
    27,462/41,194.62 = 8,994/x
  3. Step 3: Cross multiply
    27,462x = 41,194.62 × 8,994
  4. Step 4: Simplify right side
    27,462x = 370,504,412.28
  5. Step 5: Solve for x
    x = 370,504,412.28/27,462
  6. Step 6: Final answer
    x = 13,491.53

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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.