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Finding the Fourth Proportional to 22,575.36, 33,884.92 and 10,896.80

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Solution

The fourth proportional to 22,575.36, 33,884.92 and 10,896.80 is: 16,355.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,575.36 : 33,884.92 = 10,896.80 : x
  2. Step 2: Convert to fraction form
    22,575.36/33,884.92 = 10,896.80/x
  3. Step 3: Cross multiply
    22,575.36x = 33,884.92 × 10,896.80
  4. Step 4: Simplify right side
    22,575.36x = 369,237,196.26
  5. Step 5: Solve for x
    x = 369,237,196.26/22,575.36
  6. Step 6: Final answer
    x = 16,355.76

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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.