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Finding the Fourth Proportional to 12,942.94, 17,851 and 8,400.67

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Solution

The fourth proportional to 12,942.94, 17,851 and 8,400.67 is: 11,586.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,942.94 : 17,851 = 8,400.67 : x
  2. Step 2: Convert to fraction form
    12,942.94/17,851 = 8,400.67/x
  3. Step 3: Cross multiply
    12,942.94x = 17,851 × 8,400.67
  4. Step 4: Simplify right side
    12,942.94x = 149,960,360.17
  5. Step 5: Solve for x
    x = 149,960,360.17/12,942.94
  6. Step 6: Final answer
    x = 11,586.27

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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.