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Finding the Fourth Proportional to 12,167.40, 18,217.82 and 8,461.80

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Solution

The fourth proportional to 12,167.40, 18,217.82 and 8,461.80 is: 12,669.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,167.40 : 18,217.82 = 8,461.80 : x
  2. Step 2: Convert to fraction form
    12,167.40/18,217.82 = 8,461.80/x
  3. Step 3: Cross multiply
    12,167.40x = 18,217.82 × 8,461.80
  4. Step 4: Simplify right side
    12,167.40x = 154,155,549.28
  5. Step 5: Solve for x
    x = 154,155,549.28/12,167.40
  6. Step 6: Final answer
    x = 12,669.56

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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.