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Finding the Fourth Proportional to 16,961.67, 23,407.11 and 9,509.67

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Solution

The fourth proportional to 16,961.67, 23,407.11 and 9,509.67 is: 13,123.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,961.67 : 23,407.11 = 9,509.67 : x
  2. Step 2: Convert to fraction form
    16,961.67/23,407.11 = 9,509.67/x
  3. Step 3: Cross multiply
    16,961.67x = 23,407.11 × 9,509.67
  4. Step 4: Simplify right side
    16,961.67x = 222,593,891.75
  5. Step 5: Solve for x
    x = 222,593,891.75/16,961.67
  6. Step 6: Final answer
    x = 13,123.35

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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.