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Finding the Fourth Proportional to 20,989.36, 31,485.48 and 7,841.44

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Solution

The fourth proportional to 20,989.36, 31,485.48 and 7,841.44 is: 11,762.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,989.36 : 31,485.48 = 7,841.44 : x
  2. Step 2: Convert to fraction form
    20,989.36/31,485.48 = 7,841.44/x
  3. Step 3: Cross multiply
    20,989.36x = 31,485.48 × 7,841.44
  4. Step 4: Simplify right side
    20,989.36x = 246,891,512.24
  5. Step 5: Solve for x
    x = 246,891,512.24/20,989.36
  6. Step 6: Final answer
    x = 11,762.70

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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.