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Finding the Fourth Proportional to 20,092.88, 30,129.60 and 6,940.64

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Solution

The fourth proportional to 20,092.88, 30,129.60 and 6,940.64 is: 10,407.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,092.88 : 30,129.60 = 6,940.64 : x
  2. Step 2: Convert to fraction form
    20,092.88/30,129.60 = 6,940.64/x
  3. Step 3: Cross multiply
    20,092.88x = 30,129.60 × 6,940.64
  4. Step 4: Simplify right side
    20,092.88x = 209,118,706.94
  5. Step 5: Solve for x
    x = 209,118,706.94/20,092.88
  6. Step 6: Final answer
    x = 10,407.60

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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.