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Finding the Fourth Proportional to 17,202.07, 25,805.67 and 6,107.84

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Solution

The fourth proportional to 17,202.07, 25,805.67 and 6,107.84 is: 9,162.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,202.07 : 25,805.67 = 6,107.84 : x
  2. Step 2: Convert to fraction form
    17,202.07/25,805.67 = 6,107.84/x
  3. Step 3: Cross multiply
    17,202.07x = 25,805.67 × 6,107.84
  4. Step 4: Simplify right side
    17,202.07x = 157,616,882.65
  5. Step 5: Solve for x
    x = 157,616,882.65/17,202.07
  6. Step 6: Final answer
    x = 9,162.67

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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.