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Finding the Fourth Proportional to 17,271.70, 25,902.51 and 7,906.42

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Solution

The fourth proportional to 17,271.70, 25,902.51 and 7,906.42 is: 11,857.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,271.70 : 25,902.51 = 7,906.42 : x
  2. Step 2: Convert to fraction form
    17,271.70/25,902.51 = 7,906.42/x
  3. Step 3: Cross multiply
    17,271.70x = 25,902.51 × 7,906.42
  4. Step 4: Simplify right side
    17,271.70x = 204,796,123.11
  5. Step 5: Solve for x
    x = 204,796,123.11/17,271.70
  6. Step 6: Final answer
    x = 11,857.32

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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.