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Finding the Fourth Proportional to 20,548.68, 30,824.39 and 7,220.06

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Solution

The fourth proportional to 20,548.68, 30,824.39 and 7,220.06 is: 10,830.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,548.68 : 30,824.39 = 7,220.06 : x
  2. Step 2: Convert to fraction form
    20,548.68/30,824.39 = 7,220.06/x
  3. Step 3: Cross multiply
    20,548.68x = 30,824.39 × 7,220.06
  4. Step 4: Simplify right side
    20,548.68x = 222,553,755.04
  5. Step 5: Solve for x
    x = 222,553,755.04/20,548.68
  6. Step 6: Final answer
    x = 10,830.56

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