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Finding the Fourth Proportional to 14,911.65, 20,576.31 and 8,196.18

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Solution

The fourth proportional to 14,911.65, 20,576.31 and 8,196.18 is: 11,309.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,911.65 : 20,576.31 = 8,196.18 : x
  2. Step 2: Convert to fraction form
    14,911.65/20,576.31 = 8,196.18/x
  3. Step 3: Cross multiply
    14,911.65x = 20,576.31 × 8,196.18
  4. Step 4: Simplify right side
    14,911.65x = 168,647,140.50
  5. Step 5: Solve for x
    x = 168,647,140.50/14,911.65
  6. Step 6: Final answer
    x = 11,309.76

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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.