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Finding the Fourth Proportional to 20,735.22, 31,115.73 and 8,423.22

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Solution

The fourth proportional to 20,735.22, 31,115.73 and 8,423.22 is: 12,640.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,735.22 : 31,115.73 = 8,423.22 : x
  2. Step 2: Convert to fraction form
    20,735.22/31,115.73 = 8,423.22/x
  3. Step 3: Cross multiply
    20,735.22x = 31,115.73 × 8,423.22
  4. Step 4: Simplify right side
    20,735.22x = 262,094,639.25
  5. Step 5: Solve for x
    x = 262,094,639.25/20,735.22
  6. Step 6: Final answer
    x = 12,640.07

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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.