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Finding the Fourth Proportional to 22,137.54, 33,206.37 and 6,342.54

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Solution

The fourth proportional to 22,137.54, 33,206.37 and 6,342.54 is: 9,513.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,137.54 : 33,206.37 = 6,342.54 : x
  2. Step 2: Convert to fraction form
    22,137.54/33,206.37 = 6,342.54/x
  3. Step 3: Cross multiply
    22,137.54x = 33,206.37 × 6,342.54
  4. Step 4: Simplify right side
    22,137.54x = 210,612,729.98
  5. Step 5: Solve for x
    x = 210,612,729.98/22,137.54
  6. Step 6: Final answer
    x = 9,513.83

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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.