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Finding the Fourth Proportional to 12,865.50, 17,742.24 and 8,392.68

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Solution

The fourth proportional to 12,865.50, 17,742.24 and 8,392.68 is: 11,573.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,865.50 : 17,742.24 = 8,392.68 : x
  2. Step 2: Convert to fraction form
    12,865.50/17,742.24 = 8,392.68/x
  3. Step 3: Cross multiply
    12,865.50x = 17,742.24 × 8,392.68
  4. Step 4: Simplify right side
    12,865.50x = 148,904,942.80
  5. Step 5: Solve for x
    x = 148,904,942.80/12,865.50
  6. Step 6: Final answer
    x = 11,573.97

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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.