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Finding the Fourth Proportional to 21,204.54, 31,806.73 and 5,622.30

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Solution

The fourth proportional to 21,204.54, 31,806.73 and 5,622.30 is: 8,433.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,204.54 : 31,806.73 = 5,622.30 : x
  2. Step 2: Convert to fraction form
    21,204.54/31,806.73 = 5,622.30/x
  3. Step 3: Cross multiply
    21,204.54x = 31,806.73 × 5,622.30
  4. Step 4: Simplify right side
    21,204.54x = 178,826,978.08
  5. Step 5: Solve for x
    x = 178,826,978.08/21,204.54
  6. Step 6: Final answer
    x = 8,433.43

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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.