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Finding the Fourth Proportional to 17,206.45, 25,812.24 and 6,112.20

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Solution

The fourth proportional to 17,206.45, 25,812.24 and 6,112.20 is: 9,169.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,206.45 : 25,812.24 = 6,112.20 : x
  2. Step 2: Convert to fraction form
    17,206.45/25,812.24 = 6,112.20/x
  3. Step 3: Cross multiply
    17,206.45x = 25,812.24 × 6,112.20
  4. Step 4: Simplify right side
    17,206.45x = 157,769,542.77
  5. Step 5: Solve for x
    x = 157,769,542.77/17,206.45
  6. Step 6: Final answer
    x = 9,169.21

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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.