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Finding the Fourth Proportional to 17,217.50, 23,758.80 and 9,662.78

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Solution

The fourth proportional to 17,217.50, 23,758.80 and 9,662.78 is: 13,333.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,217.50 : 23,758.80 = 9,662.78 : x
  2. Step 2: Convert to fraction form
    17,217.50/23,758.80 = 9,662.78/x
  3. Step 3: Cross multiply
    17,217.50x = 23,758.80 × 9,662.78
  4. Step 4: Simplify right side
    17,217.50x = 229,576,057.46
  5. Step 5: Solve for x
    x = 229,576,057.46/17,217.50
  6. Step 6: Final answer
    x = 13,333.88

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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.