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Finding the Fourth Proportional to 22,384.14, 33,580.19 and 9,229.33

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Solution

The fourth proportional to 22,384.14, 33,580.19 and 9,229.33 is: 13,845.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,384.14 : 33,580.19 = 9,229.33 : x
  2. Step 2: Convert to fraction form
    22,384.14/33,580.19 = 9,229.33/x
  3. Step 3: Cross multiply
    22,384.14x = 33,580.19 × 9,229.33
  4. Step 4: Simplify right side
    22,384.14x = 309,922,654.97
  5. Step 5: Solve for x
    x = 309,922,654.97/22,384.14
  6. Step 6: Final answer
    x = 13,845.64

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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.