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Finding the Fourth Proportional to 20,792.67, 31,196.75 and 12,478.65

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Solution

The fourth proportional to 20,792.67, 31,196.75 and 12,478.65 is: 18,722.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,792.67 : 31,196.75 = 12,478.65 : x
  2. Step 2: Convert to fraction form
    20,792.67/31,196.75 = 12,478.65/x
  3. Step 3: Cross multiply
    20,792.67x = 31,196.75 × 12,478.65
  4. Step 4: Simplify right side
    20,792.67x = 389,293,324.39
  5. Step 5: Solve for x
    x = 389,293,324.39/20,792.67
  6. Step 6: Final answer
    x = 18,722.62

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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.