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Finding the Fourth Proportional to 12,411.75, 17,142.84 and 8,212.71

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Solution

The fourth proportional to 12,411.75, 17,142.84 and 8,212.71 is: 11,343.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,411.75 : 17,142.84 = 8,212.71 : x
  2. Step 2: Convert to fraction form
    12,411.75/17,142.84 = 8,212.71/x
  3. Step 3: Cross multiply
    12,411.75x = 17,142.84 × 8,212.71
  4. Step 4: Simplify right side
    12,411.75x = 140,789,173.50
  5. Step 5: Solve for x
    x = 140,789,173.50/12,411.75
  6. Step 6: Final answer
    x = 11,343.22

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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.