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Finding the Fourth Proportional to 17,578.20, 26,381.70 and 17,002.20

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Solution

The fourth proportional to 17,578.20, 26,381.70 and 17,002.20 is: 25,517.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,578.20 : 26,381.70 = 17,002.20 : x
  2. Step 2: Convert to fraction form
    17,578.20/26,381.70 = 17,002.20/x
  3. Step 3: Cross multiply
    17,578.20x = 26,381.70 × 17,002.20
  4. Step 4: Simplify right side
    17,578.20x = 448,546,939.74
  5. Step 5: Solve for x
    x = 448,546,939.74/17,578.20
  6. Step 6: Final answer
    x = 25,517.23

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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.