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Finding the Fourth Proportional to 20,232.28, 30,352.93 and 6,194.27

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Solution

The fourth proportional to 20,232.28, 30,352.93 and 6,194.27 is: 9,292.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,232.28 : 30,352.93 = 6,194.27 : x
  2. Step 2: Convert to fraction form
    20,232.28/30,352.93 = 6,194.27/x
  3. Step 3: Cross multiply
    20,232.28x = 30,352.93 × 6,194.27
  4. Step 4: Simplify right side
    20,232.28x = 188,014,304.11
  5. Step 5: Solve for x
    x = 188,014,304.11/20,232.28
  6. Step 6: Final answer
    x = 9,292.79

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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.