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Finding the Fourth Proportional to 22,357.78, 33,519.39 and 9,213.46

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Solution

The fourth proportional to 22,357.78, 33,519.39 and 9,213.46 is: 13,813.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,357.78 : 33,519.39 = 9,213.46 : x
  2. Step 2: Convert to fraction form
    22,357.78/33,519.39 = 9,213.46/x
  3. Step 3: Cross multiply
    22,357.78x = 33,519.39 × 9,213.46
  4. Step 4: Simplify right side
    22,357.78x = 308,829,558.99
  5. Step 5: Solve for x
    x = 308,829,558.99/22,357.78
  6. Step 6: Final answer
    x = 13,813.07

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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.