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Finding the Fourth Proportional to 13,704.68, 20,497.62 and 8,068.92

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Solution

The fourth proportional to 13,704.68, 20,497.62 and 8,068.92 is: 12,068.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.68 : 20,497.62 = 8,068.92 : x
  2. Step 2: Convert to fraction form
    13,704.68/20,497.62 = 8,068.92/x
  3. Step 3: Cross multiply
    13,704.68x = 20,497.62 × 8,068.92
  4. Step 4: Simplify right side
    13,704.68x = 165,393,655.97
  5. Step 5: Solve for x
    x = 165,393,655.97/13,704.68
  6. Step 6: Final answer
    x = 12,068.41

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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.