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Finding the Fourth Proportional to 17,107.80, 25,661.70 and 11,578.20

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Solution

The fourth proportional to 17,107.80, 25,661.70 and 11,578.20 is: 17,367.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,107.80 : 25,661.70 = 11,578.20 : x
  2. Step 2: Convert to fraction form
    17,107.80/25,661.70 = 11,578.20/x
  3. Step 3: Cross multiply
    17,107.80x = 25,661.70 × 11,578.20
  4. Step 4: Simplify right side
    17,107.80x = 297,116,294.94
  5. Step 5: Solve for x
    x = 297,116,294.94/17,107.80
  6. Step 6: Final answer
    x = 17,367.30

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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.