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Finding the Fourth Proportional to 17,172.22, 25,763.25 and 8,409.70

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Solution

The fourth proportional to 17,172.22, 25,763.25 and 8,409.70 is: 12,616.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,172.22 : 25,763.25 = 8,409.70 : x
  2. Step 2: Convert to fraction form
    17,172.22/25,763.25 = 8,409.70/x
  3. Step 3: Cross multiply
    17,172.22x = 25,763.25 × 8,409.70
  4. Step 4: Simplify right side
    17,172.22x = 216,661,203.53
  5. Step 5: Solve for x
    x = 216,661,203.53/17,172.22
  6. Step 6: Final answer
    x = 12,616.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.