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Finding the Fourth Proportional to 11,951.43, 17,924.10 and 8,474.10

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Solution

The fourth proportional to 11,951.43, 17,924.10 and 8,474.10 is: 12,708.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,951.43 : 17,924.10 = 8,474.10 : x
  2. Step 2: Convert to fraction form
    11,951.43/17,924.10 = 8,474.10/x
  3. Step 3: Cross multiply
    11,951.43x = 17,924.10 × 8,474.10
  4. Step 4: Simplify right side
    11,951.43x = 151,890,615.81
  5. Step 5: Solve for x
    x = 151,890,615.81/11,951.43
  6. Step 6: Final answer
    x = 12,708.99

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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.