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Finding the Fourth Proportional to 10,716.68, 16,099.73 and 10,273.82

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Solution

The fourth proportional to 10,716.68, 16,099.73 and 10,273.82 is: 15,434.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,716.68 : 16,099.73 = 10,273.82 : x
  2. Step 2: Convert to fraction form
    10,716.68/16,099.73 = 10,273.82/x
  3. Step 3: Cross multiply
    10,716.68x = 16,099.73 × 10,273.82
  4. Step 4: Simplify right side
    10,716.68x = 165,405,676.70
  5. Step 5: Solve for x
    x = 165,405,676.70/10,716.68
  6. Step 6: Final answer
    x = 15,434.41

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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.