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Finding the Fourth Proportional to 13,578.72, 20,378.16 and 10,105.44

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Solution

The fourth proportional to 13,578.72, 20,378.16 and 10,105.44 is: 15,165.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,578.72 : 20,378.16 = 10,105.44 : x
  2. Step 2: Convert to fraction form
    13,578.72/20,378.16 = 10,105.44/x
  3. Step 3: Cross multiply
    13,578.72x = 20,378.16 × 10,105.44
  4. Step 4: Simplify right side
    13,578.72x = 205,930,273.19
  5. Step 5: Solve for x
    x = 205,930,273.19/13,578.72
  6. Step 6: Final answer
    x = 15,165.66

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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.