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Finding the Fourth Proportional to 17,217.84, 23,758.68 and 9,662.64

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Solution

The fourth proportional to 17,217.84, 23,758.68 and 9,662.64 is: 13,333.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,217.84 : 23,758.68 = 9,662.64 : x
  2. Step 2: Convert to fraction form
    17,217.84/23,758.68 = 9,662.64/x
  3. Step 3: Cross multiply
    17,217.84x = 23,758.68 × 9,662.64
  4. Step 4: Simplify right side
    17,217.84x = 229,571,571.72
  5. Step 5: Solve for x
    x = 229,571,571.72/17,217.84
  6. Step 6: Final answer
    x = 13,333.35

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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.