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Finding the Fourth Proportional to 12,137.62, 16,749.72 and 6,832.42

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Solution

The fourth proportional to 12,137.62, 16,749.72 and 6,832.42 is: 9,428.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.62 : 16,749.72 = 6,832.42 : x
  2. Step 2: Convert to fraction form
    12,137.62/16,749.72 = 6,832.42/x
  3. Step 3: Cross multiply
    12,137.62x = 16,749.72 × 6,832.42
  4. Step 4: Simplify right side
    12,137.62x = 114,441,121.92
  5. Step 5: Solve for x
    x = 114,441,121.92/12,137.62
  6. Step 6: Final answer
    x = 9,428.63

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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.