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Finding the Fourth Proportional to 12,243.57, 16,872.44 and 8,257.76

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Solution

The fourth proportional to 12,243.57, 16,872.44 and 8,257.76 is: 11,379.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,243.57 : 16,872.44 = 8,257.76 : x
  2. Step 2: Convert to fraction form
    12,243.57/16,872.44 = 8,257.76/x
  3. Step 3: Cross multiply
    12,243.57x = 16,872.44 × 8,257.76
  4. Step 4: Simplify right side
    12,243.57x = 139,328,497.76
  5. Step 5: Solve for x
    x = 139,328,497.76/12,243.57
  6. Step 6: Final answer
    x = 11,379.73

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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.