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Finding the Fourth Proportional to 27,382.49, 41,073.74 and 11,583.42

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Solution

The fourth proportional to 27,382.49, 41,073.74 and 11,583.42 is: 17,375.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,382.49 : 41,073.74 = 11,583.42 : x
  2. Step 2: Convert to fraction form
    27,382.49/41,073.74 = 11,583.42/x
  3. Step 3: Cross multiply
    27,382.49x = 41,073.74 × 11,583.42
  4. Step 4: Simplify right side
    27,382.49x = 475,774,323.47
  5. Step 5: Solve for x
    x = 475,774,323.47/27,382.49
  6. Step 6: Final answer
    x = 17,375.13

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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.