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Finding the Fourth Proportional to 16,819.65, 23,201.64 and 9,745.11

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Solution

The fourth proportional to 16,819.65, 23,201.64 and 9,745.11 is: 13,442.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,819.65 : 23,201.64 = 9,745.11 : x
  2. Step 2: Convert to fraction form
    16,819.65/23,201.64 = 9,745.11/x
  3. Step 3: Cross multiply
    16,819.65x = 23,201.64 × 9,745.11
  4. Step 4: Simplify right side
    16,819.65x = 226,102,533.98
  5. Step 5: Solve for x
    x = 226,102,533.98/16,819.65
  6. Step 6: Final answer
    x = 13,442.76

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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.