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Finding the Fourth Proportional to 12,817.64, 17,697.84 and 8,343.86

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Solution

The fourth proportional to 12,817.64, 17,697.84 and 8,343.86 is: 11,520.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,817.64 : 17,697.84 = 8,343.86 : x
  2. Step 2: Convert to fraction form
    12,817.64/17,697.84 = 8,343.86/x
  3. Step 3: Cross multiply
    12,817.64x = 17,697.84 × 8,343.86
  4. Step 4: Simplify right side
    12,817.64x = 147,668,325.97
  5. Step 5: Solve for x
    x = 147,668,325.97/12,817.64
  6. Step 6: Final answer
    x = 11,520.71

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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.