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Finding the Fourth Proportional to 19,715.50, 27,217.15 and 12,166

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Solution

The fourth proportional to 19,715.50, 27,217.15 and 12,166 is: 16,795.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,715.50 : 27,217.15 = 12,166 : x
  2. Step 2: Convert to fraction form
    19,715.50/27,217.15 = 12,166/x
  3. Step 3: Cross multiply
    19,715.50x = 27,217.15 × 12,166
  4. Step 4: Simplify right side
    19,715.50x = 331,123,846.90
  5. Step 5: Solve for x
    x = 331,123,846.90/19,715.50
  6. Step 6: Final answer
    x = 16,795.10

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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.