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Finding the Fourth Proportional to 13,135.73, 19,692.49 and 6,112.11

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Solution

The fourth proportional to 13,135.73, 19,692.49 and 6,112.11 is: 9,163.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,135.73 : 19,692.49 = 6,112.11 : x
  2. Step 2: Convert to fraction form
    13,135.73/19,692.49 = 6,112.11/x
  3. Step 3: Cross multiply
    13,135.73x = 19,692.49 × 6,112.11
  4. Step 4: Simplify right side
    13,135.73x = 120,362,665.05
  5. Step 5: Solve for x
    x = 120,362,665.05/13,135.73
  6. Step 6: Final answer
    x = 9,163.00

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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.