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Finding the Fourth Proportional to 20,431.00, 30,648.26 and 5,639.92

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Solution

The fourth proportional to 20,431.00, 30,648.26 and 5,639.92 is: 8,460.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,431.00 : 30,648.26 = 5,639.92 : x
  2. Step 2: Convert to fraction form
    20,431.00/30,648.26 = 5,639.92/x
  3. Step 3: Cross multiply
    20,431.00x = 30,648.26 × 5,639.92
  4. Step 4: Simplify right side
    20,431.00x = 172,853,657.92
  5. Step 5: Solve for x
    x = 172,853,657.92/20,431.00
  6. Step 6: Final answer
    x = 8,460.36

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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.