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Finding the Fourth Proportional to 13,532.40, 20,248.68 and 8,198.65

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Solution

The fourth proportional to 13,532.40, 20,248.68 and 8,198.65 is: 12,267.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,532.40 : 20,248.68 = 8,198.65 : x
  2. Step 2: Convert to fraction form
    13,532.40/20,248.68 = 8,198.65/x
  3. Step 3: Cross multiply
    13,532.40x = 20,248.68 × 8,198.65
  4. Step 4: Simplify right side
    13,532.40x = 166,011,896.34
  5. Step 5: Solve for x
    x = 166,011,896.34/13,532.40
  6. Step 6: Final answer
    x = 12,267.73

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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.