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Finding the Fourth Proportional to 12,378.80, 18,568.20 and 3,614.60

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Solution

The fourth proportional to 12,378.80, 18,568.20 and 3,614.60 is: 5,421.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.80 : 18,568.20 = 3,614.60 : x
  2. Step 2: Convert to fraction form
    12,378.80/18,568.20 = 3,614.60/x
  3. Step 3: Cross multiply
    12,378.80x = 18,568.20 × 3,614.60
  4. Step 4: Simplify right side
    12,378.80x = 67,116,615.72
  5. Step 5: Solve for x
    x = 67,116,615.72/12,378.80
  6. Step 6: Final answer
    x = 5,421.90

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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.