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Finding the Fourth Proportional to 22,563.69, 33,850.73 and 7,572.80

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Solution

The fourth proportional to 22,563.69, 33,850.73 and 7,572.80 is: 11,360.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,563.69 : 33,850.73 = 7,572.80 : x
  2. Step 2: Convert to fraction form
    22,563.69/33,850.73 = 7,572.80/x
  3. Step 3: Cross multiply
    22,563.69x = 33,850.73 × 7,572.80
  4. Step 4: Simplify right side
    22,563.69x = 256,344,808.14
  5. Step 5: Solve for x
    x = 256,344,808.14/22,563.69
  6. Step 6: Final answer
    x = 11,360.94

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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.