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Finding the Fourth Proportional to 12,190.70, 18,284.23 and 4,692.33

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Solution

The fourth proportional to 12,190.70, 18,284.23 and 4,692.33 is: 7,037.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,190.70 : 18,284.23 = 4,692.33 : x
  2. Step 2: Convert to fraction form
    12,190.70/18,284.23 = 4,692.33/x
  3. Step 3: Cross multiply
    12,190.70x = 18,284.23 × 4,692.33
  4. Step 4: Simplify right side
    12,190.70x = 85,795,646.82
  5. Step 5: Solve for x
    x = 85,795,646.82/12,190.70
  6. Step 6: Final answer
    x = 7,037.79

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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.