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Finding the Fourth Proportional to 21,962.96, 32,940.73 and 6,164.37

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Solution

The fourth proportional to 21,962.96, 32,940.73 and 6,164.37 is: 9,245.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,962.96 : 32,940.73 = 6,164.37 : x
  2. Step 2: Convert to fraction form
    21,962.96/32,940.73 = 6,164.37/x
  3. Step 3: Cross multiply
    21,962.96x = 32,940.73 × 6,164.37
  4. Step 4: Simplify right side
    21,962.96x = 203,058,667.68
  5. Step 5: Solve for x
    x = 203,058,667.68/21,962.96
  6. Step 6: Final answer
    x = 9,245.51

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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.