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Finding the Fourth Proportional to 17,216.16, 23,758.08 and 9,662.46

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Solution

The fourth proportional to 17,216.16, 23,758.08 and 9,662.46 is: 13,334.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,216.16 : 23,758.08 = 9,662.46 : x
  2. Step 2: Convert to fraction form
    17,216.16/23,758.08 = 9,662.46/x
  3. Step 3: Cross multiply
    17,216.16x = 23,758.08 × 9,662.46
  4. Step 4: Simplify right side
    17,216.16x = 229,561,497.68
  5. Step 5: Solve for x
    x = 229,561,497.68/17,216.16
  6. Step 6: Final answer
    x = 13,334.07

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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.