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Finding the Fourth Proportional to 11,921.84, 17,882.49 and 7,022.56

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Solution

The fourth proportional to 11,921.84, 17,882.49 and 7,022.56 is: 10,533.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,921.84 : 17,882.49 = 7,022.56 : x
  2. Step 2: Convert to fraction form
    11,921.84/17,882.49 = 7,022.56/x
  3. Step 3: Cross multiply
    11,921.84x = 17,882.49 × 7,022.56
  4. Step 4: Simplify right side
    11,921.84x = 125,580,858.97
  5. Step 5: Solve for x
    x = 125,580,858.97/11,921.84
  6. Step 6: Final answer
    x = 10,533.68

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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.