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Finding the Fourth Proportional to 11,922.42, 17,869.68 and 7,968.90

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Solution

The fourth proportional to 11,922.42, 17,869.68 and 7,968.90 is: 11,944.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,922.42 : 17,869.68 = 7,968.90 : x
  2. Step 2: Convert to fraction form
    11,922.42/17,869.68 = 7,968.90/x
  3. Step 3: Cross multiply
    11,922.42x = 17,869.68 × 7,968.90
  4. Step 4: Simplify right side
    11,922.42x = 142,401,692.95
  5. Step 5: Solve for x
    x = 142,401,692.95/11,922.42
  6. Step 6: Final answer
    x = 11,944.03

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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.