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Finding the Fourth Proportional to 20,422.16, 30,615.88 and 9,324.96

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Solution

The fourth proportional to 20,422.16, 30,615.88 and 9,324.96 is: 13,979.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,422.16 : 30,615.88 = 9,324.96 : x
  2. Step 2: Convert to fraction form
    20,422.16/30,615.88 = 9,324.96/x
  3. Step 3: Cross multiply
    20,422.16x = 30,615.88 × 9,324.96
  4. Step 4: Simplify right side
    20,422.16x = 285,491,856.36
  5. Step 5: Solve for x
    x = 285,491,856.36/20,422.16
  6. Step 6: Final answer
    x = 13,979.51

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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.