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Finding the Fourth Proportional to 17,216.24, 23,757.36 and 9,661.28

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Solution

The fourth proportional to 17,216.24, 23,757.36 and 9,661.28 is: 13,331.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,216.24 : 23,757.36 = 9,661.28 : x
  2. Step 2: Convert to fraction form
    17,216.24/23,757.36 = 9,661.28/x
  3. Step 3: Cross multiply
    17,216.24x = 23,757.36 × 9,661.28
  4. Step 4: Simplify right side
    17,216.24x = 229,526,507.02
  5. Step 5: Solve for x
    x = 229,526,507.02/17,216.24
  6. Step 6: Final answer
    x = 13,331.98

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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.