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Finding the Fourth Proportional to 13,660.96, 18,855.20 and 8,942.50

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Solution

The fourth proportional to 13,660.96, 18,855.20 and 8,942.50 is: 12,342.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,660.96 : 18,855.20 = 8,942.50 : x
  2. Step 2: Convert to fraction form
    13,660.96/18,855.20 = 8,942.50/x
  3. Step 3: Cross multiply
    13,660.96x = 18,855.20 × 8,942.50
  4. Step 4: Simplify right side
    13,660.96x = 168,612,581.29
  5. Step 5: Solve for x
    x = 168,612,581.29/13,660.96
  6. Step 6: Final answer
    x = 12,342.66

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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.