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Finding the Fourth Proportional to 20,534.20, 30,815.70 and 8,855.80

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Solution

The fourth proportional to 20,534.20, 30,815.70 and 8,855.80 is: 13,289.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,534.20 : 30,815.70 = 8,855.80 : x
  2. Step 2: Convert to fraction form
    20,534.20/30,815.70 = 8,855.80/x
  3. Step 3: Cross multiply
    20,534.20x = 30,815.70 × 8,855.80
  4. Step 4: Simplify right side
    20,534.20x = 272,897,676.06
  5. Step 5: Solve for x
    x = 272,897,676.06/20,534.20
  6. Step 6: Final answer
    x = 13,289.91

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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.