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Finding the Fourth Proportional to 22,533.54, 33,786 and 11,997.06

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Solution

The fourth proportional to 22,533.54, 33,786 and 11,997.06 is: 17,987.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,533.54 : 33,786 = 11,997.06 : x
  2. Step 2: Convert to fraction form
    22,533.54/33,786 = 11,997.06/x
  3. Step 3: Cross multiply
    22,533.54x = 33,786 × 11,997.06
  4. Step 4: Simplify right side
    22,533.54x = 405,332,669.16
  5. Step 5: Solve for x
    x = 405,332,669.16/22,533.54
  6. Step 6: Final answer
    x = 17,987.97

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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.