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Finding the Fourth Proportional to 20,511.96, 30,772.05 and 6,474.15

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Solution

The fourth proportional to 20,511.96, 30,772.05 and 6,474.15 is: 9,712.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,511.96 : 30,772.05 = 6,474.15 : x
  2. Step 2: Convert to fraction form
    20,511.96/30,772.05 = 6,474.15/x
  3. Step 3: Cross multiply
    20,511.96x = 30,772.05 × 6,474.15
  4. Step 4: Simplify right side
    20,511.96x = 199,222,867.51
  5. Step 5: Solve for x
    x = 199,222,867.51/20,511.96
  6. Step 6: Final answer
    x = 9,712.52

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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.