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Finding the Fourth Proportional to 16,961.24, 23,406.36 and 9,509.24

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Solution

The fourth proportional to 16,961.24, 23,406.36 and 9,509.24 is: 13,122.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,961.24 : 23,406.36 = 9,509.24 : x
  2. Step 2: Convert to fraction form
    16,961.24/23,406.36 = 9,509.24/x
  3. Step 3: Cross multiply
    16,961.24x = 23,406.36 × 9,509.24
  4. Step 4: Simplify right side
    16,961.24x = 222,576,694.77
  5. Step 5: Solve for x
    x = 222,576,694.77/16,961.24
  6. Step 6: Final answer
    x = 13,122.67

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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.