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Finding the Fourth Proportional to 22,421.67, 33,633.09 and 6,839.25

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Solution

The fourth proportional to 22,421.67, 33,633.09 and 6,839.25 is: 10,259.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,421.67 : 33,633.09 = 6,839.25 : x
  2. Step 2: Convert to fraction form
    22,421.67/33,633.09 = 6,839.25/x
  3. Step 3: Cross multiply
    22,421.67x = 33,633.09 × 6,839.25
  4. Step 4: Simplify right side
    22,421.67x = 230,025,110.78
  5. Step 5: Solve for x
    x = 230,025,110.78/22,421.67
  6. Step 6: Final answer
    x = 10,259.05

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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.