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Finding the Fourth Proportional to 30,998.65, 42,778.56 and 16,851.80

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Solution

The fourth proportional to 30,998.65, 42,778.56 and 16,851.80 is: 23,255.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,998.65 : 42,778.56 = 16,851.80 : x
  2. Step 2: Convert to fraction form
    30,998.65/42,778.56 = 16,851.80/x
  3. Step 3: Cross multiply
    30,998.65x = 42,778.56 × 16,851.80
  4. Step 4: Simplify right side
    30,998.65x = 720,895,737.41
  5. Step 5: Solve for x
    x = 720,895,737.41/30,998.65
  6. Step 6: Final answer
    x = 23,255.71

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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.