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Finding the Fourth Proportional to 17,271.46, 25,906.11 and 5,583.70

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Solution

The fourth proportional to 17,271.46, 25,906.11 and 5,583.70 is: 8,375.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,271.46 : 25,906.11 = 5,583.70 : x
  2. Step 2: Convert to fraction form
    17,271.46/25,906.11 = 5,583.70/x
  3. Step 3: Cross multiply
    17,271.46x = 25,906.11 × 5,583.70
  4. Step 4: Simplify right side
    17,271.46x = 144,651,946.41
  5. Step 5: Solve for x
    x = 144,651,946.41/17,271.46
  6. Step 6: Final answer
    x = 8,375.20

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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.