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Finding the Fourth Proportional to 20,548.89, 30,824.28 and 5,758.83

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Solution

The fourth proportional to 20,548.89, 30,824.28 and 5,758.83 is: 8,638.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,548.89 : 30,824.28 = 5,758.83 : x
  2. Step 2: Convert to fraction form
    20,548.89/30,824.28 = 5,758.83/x
  3. Step 3: Cross multiply
    20,548.89x = 30,824.28 × 5,758.83
  4. Step 4: Simplify right side
    20,548.89x = 177,511,788.39
  5. Step 5: Solve for x
    x = 177,511,788.39/20,548.89
  6. Step 6: Final answer
    x = 8,638.51

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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.