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Finding the Fourth Proportional to 23,563.88, 35,336.84 and 10,409.07

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Solution

The fourth proportional to 23,563.88, 35,336.84 and 10,409.07 is: 15,609.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,563.88 : 35,336.84 = 10,409.07 : x
  2. Step 2: Convert to fraction form
    23,563.88/35,336.84 = 10,409.07/x
  3. Step 3: Cross multiply
    23,563.88x = 35,336.84 × 10,409.07
  4. Step 4: Simplify right side
    23,563.88x = 367,823,589.09
  5. Step 5: Solve for x
    x = 367,823,589.09/23,563.88
  6. Step 6: Final answer
    x = 15,609.64

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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.