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Finding the Fourth Proportional to 17,662.49, 24,373.77 and 9,704.75

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Solution

The fourth proportional to 17,662.49, 24,373.77 and 9,704.75 is: 13,392.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,662.49 : 24,373.77 = 9,704.75 : x
  2. Step 2: Convert to fraction form
    17,662.49/24,373.77 = 9,704.75/x
  3. Step 3: Cross multiply
    17,662.49x = 24,373.77 × 9,704.75
  4. Step 4: Simplify right side
    17,662.49x = 236,541,344.41
  5. Step 5: Solve for x
    x = 236,541,344.41/17,662.49
  6. Step 6: Final answer
    x = 13,392.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.