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Finding the Fourth Proportional to 14,910.94, 20,577.09 and 8,197

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Solution

The fourth proportional to 14,910.94, 20,577.09 and 8,197 is: 11,311.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,910.94 : 20,577.09 = 8,197 : x
  2. Step 2: Convert to fraction form
    14,910.94/20,577.09 = 8,197/x
  3. Step 3: Cross multiply
    14,910.94x = 20,577.09 × 8,197
  4. Step 4: Simplify right side
    14,910.94x = 168,670,406.73
  5. Step 5: Solve for x
    x = 168,670,406.73/14,910.94
  6. Step 6: Final answer
    x = 11,311.86

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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.