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Finding the Fourth Proportional to 20,302.56, 30,458.64 and 6,451.56

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Solution

The fourth proportional to 20,302.56, 30,458.64 and 6,451.56 is: 9,678.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,302.56 : 30,458.64 = 6,451.56 : x
  2. Step 2: Convert to fraction form
    20,302.56/30,458.64 = 6,451.56/x
  3. Step 3: Cross multiply
    20,302.56x = 30,458.64 × 6,451.56
  4. Step 4: Simplify right side
    20,302.56x = 196,505,743.48
  5. Step 5: Solve for x
    x = 196,505,743.48/20,302.56
  6. Step 6: Final answer
    x = 9,678.87

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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.