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Finding the Fourth Proportional to 20,557.20, 30,822.30 and 8,069.70

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Solution

The fourth proportional to 20,557.20, 30,822.30 and 8,069.70 is: 12,099.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,557.20 : 30,822.30 = 8,069.70 : x
  2. Step 2: Convert to fraction form
    20,557.20/30,822.30 = 8,069.70/x
  3. Step 3: Cross multiply
    20,557.20x = 30,822.30 × 8,069.70
  4. Step 4: Simplify right side
    20,557.20x = 248,726,714.31
  5. Step 5: Solve for x
    x = 248,726,714.31/20,557.20
  6. Step 6: Final answer
    x = 12,099.25

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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.