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Finding the Fourth Proportional to 22,383.14, 33,578.69 and 9,228.33

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Solution

The fourth proportional to 22,383.14, 33,578.69 and 9,228.33 is: 13,844.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,383.14 : 33,578.69 = 9,228.33 : x
  2. Step 2: Convert to fraction form
    22,383.14/33,578.69 = 9,228.33/x
  3. Step 3: Cross multiply
    22,383.14x = 33,578.69 × 9,228.33
  4. Step 4: Simplify right side
    22,383.14x = 309,875,186.15
  5. Step 5: Solve for x
    x = 309,875,186.15/22,383.14
  6. Step 6: Final answer
    x = 13,844.14

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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.