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Finding the Fourth Proportional to 12,172.14, 16,790.49 and 8,389.44

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Solution

The fourth proportional to 12,172.14, 16,790.49 and 8,389.44 is: 11,572.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,172.14 : 16,790.49 = 8,389.44 : x
  2. Step 2: Convert to fraction form
    12,172.14/16,790.49 = 8,389.44/x
  3. Step 3: Cross multiply
    12,172.14x = 16,790.49 × 8,389.44
  4. Step 4: Simplify right side
    12,172.14x = 140,862,808.43
  5. Step 5: Solve for x
    x = 140,862,808.43/12,172.14
  6. Step 6: Final answer
    x = 11,572.56

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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.