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Finding the Fourth Proportional to 16,780.68, 23,157.94 and 9,227.59

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Solution

The fourth proportional to 16,780.68, 23,157.94 and 9,227.59 is: 12,734.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,780.68 : 23,157.94 = 9,227.59 : x
  2. Step 2: Convert to fraction form
    16,780.68/23,157.94 = 9,227.59/x
  3. Step 3: Cross multiply
    16,780.68x = 23,157.94 × 9,227.59
  4. Step 4: Simplify right side
    16,780.68x = 213,691,975.56
  5. Step 5: Solve for x
    x = 213,691,975.56/16,780.68
  6. Step 6: Final answer
    x = 12,734.41

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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.