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Finding the Fourth Proportional to 22,527.54, 33,782.91 and 7,732.26

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Solution

The fourth proportional to 22,527.54, 33,782.91 and 7,732.26 is: 11,595.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,527.54 : 33,782.91 = 7,732.26 : x
  2. Step 2: Convert to fraction form
    22,527.54/33,782.91 = 7,732.26/x
  3. Step 3: Cross multiply
    22,527.54x = 33,782.91 × 7,732.26
  4. Step 4: Simplify right side
    22,527.54x = 261,218,243.68
  5. Step 5: Solve for x
    x = 261,218,243.68/22,527.54
  6. Step 6: Final answer
    x = 11,595.51

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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.