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Finding the Fourth Proportional to 12,308.68, 18,452 and 4,515.64

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Solution

The fourth proportional to 12,308.68, 18,452 and 4,515.64 is: 6,769.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,308.68 : 18,452 = 4,515.64 : x
  2. Step 2: Convert to fraction form
    12,308.68/18,452 = 4,515.64/x
  3. Step 3: Cross multiply
    12,308.68x = 18,452 × 4,515.64
  4. Step 4: Simplify right side
    12,308.68x = 83,322,589.28
  5. Step 5: Solve for x
    x = 83,322,589.28/12,308.68
  6. Step 6: Final answer
    x = 6,769.42

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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.