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Finding the Fourth Proportional to 16,745.94, 23,098.77 and 10,282.75

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Solution

The fourth proportional to 16,745.94, 23,098.77 and 10,282.75 is: 14,183.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,745.94 : 23,098.77 = 10,282.75 : x
  2. Step 2: Convert to fraction form
    16,745.94/23,098.77 = 10,282.75/x
  3. Step 3: Cross multiply
    16,745.94x = 23,098.77 × 10,282.75
  4. Step 4: Simplify right side
    16,745.94x = 237,518,819.47
  5. Step 5: Solve for x
    x = 237,518,819.47/16,745.94
  6. Step 6: Final answer
    x = 14,183.67

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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.