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Finding the Fourth Proportional to 20,427.44, 30,643.80 and 7,283.60

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Solution

The fourth proportional to 20,427.44, 30,643.80 and 7,283.60 is: 10,926.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,427.44 : 30,643.80 = 7,283.60 : x
  2. Step 2: Convert to fraction form
    20,427.44/30,643.80 = 7,283.60/x
  3. Step 3: Cross multiply
    20,427.44x = 30,643.80 × 7,283.60
  4. Step 4: Simplify right side
    20,427.44x = 223,197,181.68
  5. Step 5: Solve for x
    x = 223,197,181.68/20,427.44
  6. Step 6: Final answer
    x = 10,926.34

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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.