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Finding the Fourth Proportional to 20,539.50, 30,809.26 and 8,227.50

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Solution

The fourth proportional to 20,539.50, 30,809.26 and 8,227.50 is: 12,341.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,539.50 : 30,809.26 = 8,227.50 : x
  2. Step 2: Convert to fraction form
    20,539.50/30,809.26 = 8,227.50/x
  3. Step 3: Cross multiply
    20,539.50x = 30,809.26 × 8,227.50
  4. Step 4: Simplify right side
    20,539.50x = 253,483,186.65
  5. Step 5: Solve for x
    x = 253,483,186.65/20,539.50
  6. Step 6: Final answer
    x = 12,341.25

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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.