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Finding the Fourth Proportional to 13,422.30, 20,129.13 and 11,694.30

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Solution

The fourth proportional to 13,422.30, 20,129.13 and 11,694.30 is: 17,537.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.30 : 20,129.13 = 11,694.30 : x
  2. Step 2: Convert to fraction form
    13,422.30/20,129.13 = 11,694.30/x
  3. Step 3: Cross multiply
    13,422.30x = 20,129.13 × 11,694.30
  4. Step 4: Simplify right side
    13,422.30x = 235,396,084.96
  5. Step 5: Solve for x
    x = 235,396,084.96/13,422.30
  6. Step 6: Final answer
    x = 17,537.69

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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.