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Finding the Fourth Proportional to 13,138.08, 19,692.54 and 6,198

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Solution

The fourth proportional to 13,138.08, 19,692.54 and 6,198 is: 9,290.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138.08 : 19,692.54 = 6,198 : x
  2. Step 2: Convert to fraction form
    13,138.08/19,692.54 = 6,198/x
  3. Step 3: Cross multiply
    13,138.08x = 19,692.54 × 6,198
  4. Step 4: Simplify right side
    13,138.08x = 122,054,362.92
  5. Step 5: Solve for x
    x = 122,054,362.92/13,138.08
  6. Step 6: Final answer
    x = 9,290.12

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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.