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Finding the Fourth Proportional to 17,578.47, 26,367.72 and 7,190.22

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Solution

The fourth proportional to 17,578.47, 26,367.72 and 7,190.22 is: 10,785.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,578.47 : 26,367.72 = 7,190.22 : x
  2. Step 2: Convert to fraction form
    17,578.47/26,367.72 = 7,190.22/x
  3. Step 3: Cross multiply
    17,578.47x = 26,367.72 × 7,190.22
  4. Step 4: Simplify right side
    17,578.47x = 189,589,707.70
  5. Step 5: Solve for x
    x = 189,589,707.70/17,578.47
  6. Step 6: Final answer
    x = 10,785.34

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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.