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Finding the Fourth Proportional to 16,313.67, 22,512.21 and 9,239.67

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Solution

The fourth proportional to 16,313.67, 22,512.21 and 9,239.67 is: 12,750.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,313.67 : 22,512.21 = 9,239.67 : x
  2. Step 2: Convert to fraction form
    16,313.67/22,512.21 = 9,239.67/x
  3. Step 3: Cross multiply
    16,313.67x = 22,512.21 × 9,239.67
  4. Step 4: Simplify right side
    16,313.67x = 208,005,391.37
  5. Step 5: Solve for x
    x = 208,005,391.37/16,313.67
  6. Step 6: Final answer
    x = 12,750.37

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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.