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Finding the Fourth Proportional to 17,217.75, 23,760.50 and 9,765.75

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Solution

The fourth proportional to 17,217.75, 23,760.50 and 9,765.75 is: 13,476.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,217.75 : 23,760.50 = 9,765.75 : x
  2. Step 2: Convert to fraction form
    17,217.75/23,760.50 = 9,765.75/x
  3. Step 3: Cross multiply
    17,217.75x = 23,760.50 × 9,765.75
  4. Step 4: Simplify right side
    17,217.75x = 232,039,102.88
  5. Step 5: Solve for x
    x = 232,039,102.88/17,217.75
  6. Step 6: Final answer
    x = 13,476.74

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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.