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Finding the Fourth Proportional to 13,855.57, 19,120.39 and 7,806.12

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Solution

The fourth proportional to 13,855.57, 19,120.39 and 7,806.12 is: 10,772.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,855.57 : 19,120.39 = 7,806.12 : x
  2. Step 2: Convert to fraction form
    13,855.57/19,120.39 = 7,806.12/x
  3. Step 3: Cross multiply
    13,855.57x = 19,120.39 × 7,806.12
  4. Step 4: Simplify right side
    13,855.57x = 149,256,108.05
  5. Step 5: Solve for x
    x = 149,256,108.05/13,855.57
  6. Step 6: Final answer
    x = 10,772.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.