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Finding the Fourth Proportional to 12,123.14, 16,729.83 and 6,817.85

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Solution

The fourth proportional to 12,123.14, 16,729.83 and 6,817.85 is: 9,408.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,123.14 : 16,729.83 = 6,817.85 : x
  2. Step 2: Convert to fraction form
    12,123.14/16,729.83 = 6,817.85/x
  3. Step 3: Cross multiply
    12,123.14x = 16,729.83 × 6,817.85
  4. Step 4: Simplify right side
    12,123.14x = 114,061,393.91
  5. Step 5: Solve for x
    x = 114,061,393.91/12,123.14
  6. Step 6: Final answer
    x = 9,408.57

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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.