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Finding the Fourth Proportional to 22,564.49, 33,846.62 and 5,697.53

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Solution

The fourth proportional to 22,564.49, 33,846.62 and 5,697.53 is: 8,546.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,564.49 : 33,846.62 = 5,697.53 : x
  2. Step 2: Convert to fraction form
    22,564.49/33,846.62 = 5,697.53/x
  3. Step 3: Cross multiply
    22,564.49x = 33,846.62 × 5,697.53
  4. Step 4: Simplify right side
    22,564.49x = 192,842,132.85
  5. Step 5: Solve for x
    x = 192,842,132.85/22,564.49
  6. Step 6: Final answer
    x = 8,546.27

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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.