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Finding the Fourth Proportional to 13,642.52, 20,467.02 and 8,097.80

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Solution

The fourth proportional to 13,642.52, 20,467.02 and 8,097.80 is: 12,148.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.52 : 20,467.02 = 8,097.80 : x
  2. Step 2: Convert to fraction form
    13,642.52/20,467.02 = 8,097.80/x
  3. Step 3: Cross multiply
    13,642.52x = 20,467.02 × 8,097.80
  4. Step 4: Simplify right side
    13,642.52x = 165,737,834.56
  5. Step 5: Solve for x
    x = 165,737,834.56/13,642.52
  6. Step 6: Final answer
    x = 12,148.62

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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.