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Finding the Fourth Proportional to 20,284.96, 30,431.60 and 7,804.96

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Solution

The fourth proportional to 20,284.96, 30,431.60 and 7,804.96 is: 11,709.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,284.96 : 30,431.60 = 7,804.96 : x
  2. Step 2: Convert to fraction form
    20,284.96/30,431.60 = 7,804.96/x
  3. Step 3: Cross multiply
    20,284.96x = 30,431.60 × 7,804.96
  4. Step 4: Simplify right side
    20,284.96x = 237,517,420.74
  5. Step 5: Solve for x
    x = 237,517,420.74/20,284.96
  6. Step 6: Final answer
    x = 11,709.04

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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.