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Finding the Fourth Proportional to 27,733, 41,574.78 and 10,198.60

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Solution

The fourth proportional to 27,733, 41,574.78 and 10,198.60 is: 15,288.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,733 : 41,574.78 = 10,198.60 : x
  2. Step 2: Convert to fraction form
    27,733/41,574.78 = 10,198.60/x
  3. Step 3: Cross multiply
    27,733x = 41,574.78 × 10,198.60
  4. Step 4: Simplify right side
    27,733x = 424,004,551.31
  5. Step 5: Solve for x
    x = 424,004,551.31/27,733
  6. Step 6: Final answer
    x = 15,288.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.