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Finding the Fourth Proportional to 22,147.50, 33,221.37 and 5,731.50

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Solution

The fourth proportional to 22,147.50, 33,221.37 and 5,731.50 is: 8,597.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,147.50 : 33,221.37 = 5,731.50 : x
  2. Step 2: Convert to fraction form
    22,147.50/33,221.37 = 5,731.50/x
  3. Step 3: Cross multiply
    22,147.50x = 33,221.37 × 5,731.50
  4. Step 4: Simplify right side
    22,147.50x = 190,408,282.16
  5. Step 5: Solve for x
    x = 190,408,282.16/22,147.50
  6. Step 6: Final answer
    x = 8,597.28

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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.