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Finding the Fourth Proportional to 22,667.40, 33,996.24 and 7,083

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Solution

The fourth proportional to 22,667.40, 33,996.24 and 7,083 is: 10,622.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,667.40 : 33,996.24 = 7,083 : x
  2. Step 2: Convert to fraction form
    22,667.40/33,996.24 = 7,083/x
  3. Step 3: Cross multiply
    22,667.40x = 33,996.24 × 7,083
  4. Step 4: Simplify right side
    22,667.40x = 240,795,367.92
  5. Step 5: Solve for x
    x = 240,795,367.92/22,667.40
  6. Step 6: Final answer
    x = 10,622.98

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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.