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Finding the Fourth Proportional to 16,082.34, 24,131.73 and 7,658.37

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Solution

The fourth proportional to 16,082.34, 24,131.73 and 7,658.37 is: 11,491.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,082.34 : 24,131.73 = 7,658.37 : x
  2. Step 2: Convert to fraction form
    16,082.34/24,131.73 = 7,658.37/x
  3. Step 3: Cross multiply
    16,082.34x = 24,131.73 × 7,658.37
  4. Step 4: Simplify right side
    16,082.34x = 184,809,717.08
  5. Step 5: Solve for x
    x = 184,809,717.08/16,082.34
  6. Step 6: Final answer
    x = 11,491.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.