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Finding the Fourth Proportional to 20,198.70, 30,341.70 and 17,084.88

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Solution

The fourth proportional to 20,198.70, 30,341.70 and 17,084.88 is: 25,664.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,198.70 : 30,341.70 = 17,084.88 : x
  2. Step 2: Convert to fraction form
    20,198.70/30,341.70 = 17,084.88/x
  3. Step 3: Cross multiply
    20,198.70x = 30,341.70 × 17,084.88
  4. Step 4: Simplify right side
    20,198.70x = 518,384,303.50
  5. Step 5: Solve for x
    x = 518,384,303.50/20,198.70
  6. Step 6: Final answer
    x = 25,664.24

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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.