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Finding the Fourth Proportional to 30,990.86, 42,767.14 and 16,843.80

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Solution

The fourth proportional to 30,990.86, 42,767.14 and 16,843.80 is: 23,244.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,990.86 : 42,767.14 = 16,843.80 : x
  2. Step 2: Convert to fraction form
    30,990.86/42,767.14 = 16,843.80/x
  3. Step 3: Cross multiply
    30,990.86x = 42,767.14 × 16,843.80
  4. Step 4: Simplify right side
    30,990.86x = 720,361,152.73
  5. Step 5: Solve for x
    x = 720,361,152.73/30,990.86
  6. Step 6: Final answer
    x = 23,244.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.