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Finding the Fourth Proportional to 20,563.27, 30,842.78 and 8,081.57

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Solution

The fourth proportional to 20,563.27, 30,842.78 and 8,081.57 is: 12,121.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,563.27 : 30,842.78 = 8,081.57 : x
  2. Step 2: Convert to fraction form
    20,563.27/30,842.78 = 8,081.57/x
  3. Step 3: Cross multiply
    20,563.27x = 30,842.78 × 8,081.57
  4. Step 4: Simplify right side
    20,563.27x = 249,258,122.26
  5. Step 5: Solve for x
    x = 249,258,122.26/20,563.27
  6. Step 6: Final answer
    x = 12,121.52

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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.