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Finding the Fourth Proportional to 11,824.40, 17,713.20 and 7,667.30

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Solution

The fourth proportional to 11,824.40, 17,713.20 and 7,667.30 is: 11,485.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,824.40 : 17,713.20 = 7,667.30 : x
  2. Step 2: Convert to fraction form
    11,824.40/17,713.20 = 7,667.30/x
  3. Step 3: Cross multiply
    11,824.40x = 17,713.20 × 7,667.30
  4. Step 4: Simplify right side
    11,824.40x = 135,812,418.36
  5. Step 5: Solve for x
    x = 135,812,418.36/11,824.40
  6. Step 6: Final answer
    x = 11,485.78

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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.