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Finding the Fourth Proportional to 20,038.96, 30,047.32 and 8,201.05

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Solution

The fourth proportional to 20,038.96, 30,047.32 and 8,201.05 is: 12,297.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,038.96 : 30,047.32 = 8,201.05 : x
  2. Step 2: Convert to fraction form
    20,038.96/30,047.32 = 8,201.05/x
  3. Step 3: Cross multiply
    20,038.96x = 30,047.32 × 8,201.05
  4. Step 4: Simplify right side
    20,038.96x = 246,419,508.82
  5. Step 5: Solve for x
    x = 246,419,508.82/20,038.96
  6. Step 6: Final answer
    x = 12,297.02

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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.