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Finding the Fourth Proportional to 27,680.88, 41,416.52 and 16,969.14

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Solution

The fourth proportional to 27,680.88, 41,416.52 and 16,969.14 is: 25,389.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,680.88 : 41,416.52 = 16,969.14 : x
  2. Step 2: Convert to fraction form
    27,680.88/41,416.52 = 16,969.14/x
  3. Step 3: Cross multiply
    27,680.88x = 41,416.52 × 16,969.14
  4. Step 4: Simplify right side
    27,680.88x = 702,802,768.62
  5. Step 5: Solve for x
    x = 702,802,768.62/27,680.88
  6. Step 6: Final answer
    x = 25,389.47

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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.