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Finding the Fourth Proportional to 11,768.37, 16,224.48 and 10,082.49

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Solution

The fourth proportional to 11,768.37, 16,224.48 and 10,082.49 is: 13,900.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,768.37 : 16,224.48 = 10,082.49 : x
  2. Step 2: Convert to fraction form
    11,768.37/16,224.48 = 10,082.49/x
  3. Step 3: Cross multiply
    11,768.37x = 16,224.48 × 10,082.49
  4. Step 4: Simplify right side
    11,768.37x = 163,583,157.36
  5. Step 5: Solve for x
    x = 163,583,157.36/11,768.37
  6. Step 6: Final answer
    x = 13,900.24

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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.