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Finding the Fourth Proportional to 16,193.75, 24,291.60 and 5,100.80

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Solution

The fourth proportional to 16,193.75, 24,291.60 and 5,100.80 is: 7,651.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,193.75 : 24,291.60 = 5,100.80 : x
  2. Step 2: Convert to fraction form
    16,193.75/24,291.60 = 5,100.80/x
  3. Step 3: Cross multiply
    16,193.75x = 24,291.60 × 5,100.80
  4. Step 4: Simplify right side
    16,193.75x = 123,906,593.28
  5. Step 5: Solve for x
    x = 123,906,593.28/16,193.75
  6. Step 6: Final answer
    x = 7,651.51

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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.