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Finding the Fourth Proportional to 12,322.70, 18,447.60 and 8,167.40

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Solution

The fourth proportional to 12,322.70, 18,447.60 and 8,167.40 is: 12,226.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322.70 : 18,447.60 = 8,167.40 : x
  2. Step 2: Convert to fraction form
    12,322.70/18,447.60 = 8,167.40/x
  3. Step 3: Cross multiply
    12,322.70x = 18,447.60 × 8,167.40
  4. Step 4: Simplify right side
    12,322.70x = 150,668,928.24
  5. Step 5: Solve for x
    x = 150,668,928.24/12,322.70
  6. Step 6: Final answer
    x = 12,226.94

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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.