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Finding the Fourth Proportional to 20,313.29, 30,473.74 and 9,220.75

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Solution

The fourth proportional to 20,313.29, 30,473.74 and 9,220.75 is: 13,832.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,313.29 : 30,473.74 = 9,220.75 : x
  2. Step 2: Convert to fraction form
    20,313.29/30,473.74 = 9,220.75/x
  3. Step 3: Cross multiply
    20,313.29x = 30,473.74 × 9,220.75
  4. Step 4: Simplify right side
    20,313.29x = 280,990,787.72
  5. Step 5: Solve for x
    x = 280,990,787.72/20,313.29
  6. Step 6: Final answer
    x = 13,832.86

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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.