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Finding the Fourth Proportional to 27,969.84, 41,954.22 and 11,329.20

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Solution

The fourth proportional to 27,969.84, 41,954.22 and 11,329.20 is: 16,993.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,969.84 : 41,954.22 = 11,329.20 : x
  2. Step 2: Convert to fraction form
    27,969.84/41,954.22 = 11,329.20/x
  3. Step 3: Cross multiply
    27,969.84x = 41,954.22 × 11,329.20
  4. Step 4: Simplify right side
    27,969.84x = 475,307,749.22
  5. Step 5: Solve for x
    x = 475,307,749.22/27,969.84
  6. Step 6: Final answer
    x = 16,993.58

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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.