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Finding the Fourth Proportional to 20,792.36, 31,206.12 and 8,321.12

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Solution

The fourth proportional to 20,792.36, 31,206.12 and 8,321.12 is: 12,488.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,792.36 : 31,206.12 = 8,321.12 : x
  2. Step 2: Convert to fraction form
    20,792.36/31,206.12 = 8,321.12/x
  3. Step 3: Cross multiply
    20,792.36x = 31,206.12 × 8,321.12
  4. Step 4: Simplify right side
    20,792.36x = 259,669,869.25
  5. Step 5: Solve for x
    x = 259,669,869.25/20,792.36
  6. Step 6: Final answer
    x = 12,488.72

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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.