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Finding the Fourth Proportional to 16,806.94, 23,193.16 and 9,253.21

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Solution

The fourth proportional to 16,806.94, 23,193.16 and 9,253.21 is: 12,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,806.94 : 23,193.16 = 9,253.21 : x
  2. Step 2: Convert to fraction form
    16,806.94/23,193.16 = 9,253.21/x
  3. Step 3: Cross multiply
    16,806.94x = 23,193.16 × 9,253.21
  4. Step 4: Simplify right side
    16,806.94x = 214,611,180.04
  5. Step 5: Solve for x
    x = 214,611,180.04/16,806.94
  6. Step 6: Final answer
    x = 12,769.20

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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.