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Finding the Fourth Proportional to 22,535.96, 33,809.48 and 7,745.09

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Solution

The fourth proportional to 22,535.96, 33,809.48 and 7,745.09 is: 11,619.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,535.96 : 33,809.48 = 7,745.09 : x
  2. Step 2: Convert to fraction form
    22,535.96/33,809.48 = 7,745.09/x
  3. Step 3: Cross multiply
    22,535.96x = 33,809.48 × 7,745.09
  4. Step 4: Simplify right side
    22,535.96x = 261,857,569.34
  5. Step 5: Solve for x
    x = 261,857,569.34/22,535.96
  6. Step 6: Final answer
    x = 11,619.54

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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.