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Finding the Fourth Proportional to 12,214.40, 18,321.93 and 3,894.62

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Solution

The fourth proportional to 12,214.40, 18,321.93 and 3,894.62 is: 5,842.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,214.40 : 18,321.93 = 3,894.62 : x
  2. Step 2: Convert to fraction form
    12,214.40/18,321.93 = 3,894.62/x
  3. Step 3: Cross multiply
    12,214.40x = 18,321.93 × 3,894.62
  4. Step 4: Simplify right side
    12,214.40x = 71,356,863.41
  5. Step 5: Solve for x
    x = 71,356,863.41/12,214.40
  6. Step 6: Final answer
    x = 5,842.03

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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.