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Finding the Fourth Proportional to 20,419.49, 30,619.82 and 6,375.31

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Solution

The fourth proportional to 20,419.49, 30,619.82 and 6,375.31 is: 9,560.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,419.49 : 30,619.82 = 6,375.31 : x
  2. Step 2: Convert to fraction form
    20,419.49/30,619.82 = 6,375.31/x
  3. Step 3: Cross multiply
    20,419.49x = 30,619.82 × 6,375.31
  4. Step 4: Simplify right side
    20,419.49x = 195,210,784.03
  5. Step 5: Solve for x
    x = 195,210,784.03/20,419.49
  6. Step 6: Final answer
    x = 9,560.02

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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.