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Finding the Fourth Proportional to 20,539.68, 30,812.26 and 7,209.50

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Solution

The fourth proportional to 20,539.68, 30,812.26 and 7,209.50 is: 10,815.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,539.68 : 30,812.26 = 7,209.50 : x
  2. Step 2: Convert to fraction form
    20,539.68/30,812.26 = 7,209.50/x
  3. Step 3: Cross multiply
    20,539.68x = 30,812.26 × 7,209.50
  4. Step 4: Simplify right side
    20,539.68x = 222,140,988.47
  5. Step 5: Solve for x
    x = 222,140,988.47/20,539.68
  6. Step 6: Final answer
    x = 10,815.21

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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.