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Finding the Fourth Proportional to 17,270.80, 25,902.36 and 6,178.24

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Solution

The fourth proportional to 17,270.80, 25,902.36 and 6,178.24 is: 9,265.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,270.80 : 25,902.36 = 6,178.24 : x
  2. Step 2: Convert to fraction form
    17,270.80/25,902.36 = 6,178.24/x
  3. Step 3: Cross multiply
    17,270.80x = 25,902.36 × 6,178.24
  4. Step 4: Simplify right side
    17,270.80x = 160,030,996.65
  5. Step 5: Solve for x
    x = 160,030,996.65/17,270.80
  6. Step 6: Final answer
    x = 9,265.99

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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.