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Finding the Fourth Proportional to 20,494, 28,283.34 and 12,112.12

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Solution

The fourth proportional to 20,494, 28,283.34 and 12,112.12 is: 16,715.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,494 : 28,283.34 = 12,112.12 : x
  2. Step 2: Convert to fraction form
    20,494/28,283.34 = 12,112.12/x
  3. Step 3: Cross multiply
    20,494x = 28,283.34 × 12,112.12
  4. Step 4: Simplify right side
    20,494x = 342,571,208.08
  5. Step 5: Solve for x
    x = 342,571,208.08/20,494
  6. Step 6: Final answer
    x = 16,715.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.