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Finding the Fourth Proportional to 16,678.14, 25,020.24 and 7,912.97

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Solution

The fourth proportional to 16,678.14, 25,020.24 and 7,912.97 is: 11,870.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,678.14 : 25,020.24 = 7,912.97 : x
  2. Step 2: Convert to fraction form
    16,678.14/25,020.24 = 7,912.97/x
  3. Step 3: Cross multiply
    16,678.14x = 25,020.24 × 7,912.97
  4. Step 4: Simplify right side
    16,678.14x = 197,984,532.01
  5. Step 5: Solve for x
    x = 197,984,532.01/16,678.14
  6. Step 6: Final answer
    x = 11,870.90

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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.