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Finding the Fourth Proportional to 12,263.69, 18,396 and 3,942.61

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Solution

The fourth proportional to 12,263.69, 18,396 and 3,942.61 is: 5,914.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,263.69 : 18,396 = 3,942.61 : x
  2. Step 2: Convert to fraction form
    12,263.69/18,396 = 3,942.61/x
  3. Step 3: Cross multiply
    12,263.69x = 18,396 × 3,942.61
  4. Step 4: Simplify right side
    12,263.69x = 72,528,207.57
  5. Step 5: Solve for x
    x = 72,528,207.57/12,263.69
  6. Step 6: Final answer
    x = 5,914.06

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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.