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Finding the Fourth Proportional to 27,680.90, 41,451.89 and 17,107.47

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Solution

The fourth proportional to 27,680.90, 41,451.89 and 17,107.47 is: 25,618.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,680.90 : 41,451.89 = 17,107.47 : x
  2. Step 2: Convert to fraction form
    27,680.90/41,451.89 = 17,107.47/x
  3. Step 3: Cross multiply
    27,680.90x = 41,451.89 × 17,107.47
  4. Step 4: Simplify right side
    27,680.90x = 709,136,879.08
  5. Step 5: Solve for x
    x = 709,136,879.08/27,680.90
  6. Step 6: Final answer
    x = 25,618.28

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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.