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Finding the Fourth Proportional to 12,422.31, 18,634.68 and 4,629.30

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Solution

The fourth proportional to 12,422.31, 18,634.68 and 4,629.30 is: 6,944.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,422.31 : 18,634.68 = 4,629.30 : x
  2. Step 2: Convert to fraction form
    12,422.31/18,634.68 = 4,629.30/x
  3. Step 3: Cross multiply
    12,422.31x = 18,634.68 × 4,629.30
  4. Step 4: Simplify right side
    12,422.31x = 86,265,524.12
  5. Step 5: Solve for x
    x = 86,265,524.12/12,422.31
  6. Step 6: Final answer
    x = 6,944.40

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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.