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Finding the Fourth Proportional to 23,414.16, 35,121.27 and 9,563.16

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Solution

The fourth proportional to 23,414.16, 35,121.27 and 9,563.16 is: 14,344.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,414.16 : 35,121.27 = 9,563.16 : x
  2. Step 2: Convert to fraction form
    23,414.16/35,121.27 = 9,563.16/x
  3. Step 3: Cross multiply
    23,414.16x = 35,121.27 × 9,563.16
  4. Step 4: Simplify right side
    23,414.16x = 335,870,324.41
  5. Step 5: Solve for x
    x = 335,870,324.41/23,414.16
  6. Step 6: Final answer
    x = 14,344.75

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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.