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Finding the Fourth Proportional to 22,350.96, 33,530.22 and 9,199.80

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Solution

The fourth proportional to 22,350.96, 33,530.22 and 9,199.80 is: 13,801.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,350.96 : 33,530.22 = 9,199.80 : x
  2. Step 2: Convert to fraction form
    22,350.96/33,530.22 = 9,199.80/x
  3. Step 3: Cross multiply
    22,350.96x = 33,530.22 × 9,199.80
  4. Step 4: Simplify right side
    22,350.96x = 308,471,317.96
  5. Step 5: Solve for x
    x = 308,471,317.96/22,350.96
  6. Step 6: Final answer
    x = 13,801.26

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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.