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Finding the Fourth Proportional to 13,578.22, 20,350.30 and 7,341.22

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Solution

The fourth proportional to 13,578.22, 20,350.30 and 7,341.22 is: 11,002.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,578.22 : 20,350.30 = 7,341.22 : x
  2. Step 2: Convert to fraction form
    13,578.22/20,350.30 = 7,341.22/x
  3. Step 3: Cross multiply
    13,578.22x = 20,350.30 × 7,341.22
  4. Step 4: Simplify right side
    13,578.22x = 149,396,029.37
  5. Step 5: Solve for x
    x = 149,396,029.37/13,578.22
  6. Step 6: Final answer
    x = 11,002.62

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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.