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Finding the Fourth Proportional to 17,617.75, 24,313.23 and 9,660.28

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Solution

The fourth proportional to 17,617.75, 24,313.23 and 9,660.28 is: 13,331.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,617.75 : 24,313.23 = 9,660.28 : x
  2. Step 2: Convert to fraction form
    17,617.75/24,313.23 = 9,660.28/x
  3. Step 3: Cross multiply
    17,617.75x = 24,313.23 × 9,660.28
  4. Step 4: Simplify right side
    17,617.75x = 234,872,609.50
  5. Step 5: Solve for x
    x = 234,872,609.50/17,617.75
  6. Step 6: Final answer
    x = 13,331.59

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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.