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Finding the Fourth Proportional to 20,552.54, 30,842.98 and 8,072.46

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Solution

The fourth proportional to 20,552.54, 30,842.98 and 8,072.46 is: 12,114.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,552.54 : 30,842.98 = 8,072.46 : x
  2. Step 2: Convert to fraction form
    20,552.54/30,842.98 = 8,072.46/x
  3. Step 3: Cross multiply
    20,552.54x = 30,842.98 × 8,072.46
  4. Step 4: Simplify right side
    20,552.54x = 248,978,702.15
  5. Step 5: Solve for x
    x = 248,978,702.15/20,552.54
  6. Step 6: Final answer
    x = 12,114.26

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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.