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Finding the Fourth Proportional to 12,692.14, 19,043.66 and 4,906.42

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Solution

The fourth proportional to 12,692.14, 19,043.66 and 4,906.42 is: 7,361.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,692.14 : 19,043.66 = 4,906.42 : x
  2. Step 2: Convert to fraction form
    12,692.14/19,043.66 = 4,906.42/x
  3. Step 3: Cross multiply
    12,692.14x = 19,043.66 × 4,906.42
  4. Step 4: Simplify right side
    12,692.14x = 93,436,169.77
  5. Step 5: Solve for x
    x = 93,436,169.77/12,692.14
  6. Step 6: Final answer
    x = 7,361.73

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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.