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Finding the Fourth Proportional to 16,964.92, 25,463.04 and 12,226

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Solution

The fourth proportional to 16,964.92, 25,463.04 and 12,226 is: 18,350.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,964.92 : 25,463.04 = 12,226 : x
  2. Step 2: Convert to fraction form
    16,964.92/25,463.04 = 12,226/x
  3. Step 3: Cross multiply
    16,964.92x = 25,463.04 × 12,226
  4. Step 4: Simplify right side
    16,964.92x = 311,311,127.04
  5. Step 5: Solve for x
    x = 311,311,127.04/16,964.92
  6. Step 6: Final answer
    x = 18,350.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.