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Finding the Fourth Proportional to 17,694.08, 24,415.80 and 9,735.56

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Solution

The fourth proportional to 17,694.08, 24,415.80 and 9,735.56 is: 13,433.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,694.08 : 24,415.80 = 9,735.56 : x
  2. Step 2: Convert to fraction form
    17,694.08/24,415.80 = 9,735.56/x
  3. Step 3: Cross multiply
    17,694.08x = 24,415.80 × 9,735.56
  4. Step 4: Simplify right side
    17,694.08x = 237,701,485.85
  5. Step 5: Solve for x
    x = 237,701,485.85/17,694.08
  6. Step 6: Final answer
    x = 13,433.96

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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.