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Finding the Fourth Proportional to 12,314.28, 18,473.76 and 3,993.60

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Solution

The fourth proportional to 12,314.28, 18,473.76 and 3,993.60 is: 5,991.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.28 : 18,473.76 = 3,993.60 : x
  2. Step 2: Convert to fraction form
    12,314.28/18,473.76 = 3,993.60/x
  3. Step 3: Cross multiply
    12,314.28x = 18,473.76 × 3,993.60
  4. Step 4: Simplify right side
    12,314.28x = 73,776,807.94
  5. Step 5: Solve for x
    x = 73,776,807.94/12,314.28
  6. Step 6: Final answer
    x = 5,991.16

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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.