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Finding the Fourth Proportional to 17,216.13, 23,758.16 and 9,662.45

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Solution

The fourth proportional to 17,216.13, 23,758.16 and 9,662.45 is: 13,334.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,216.13 : 23,758.16 = 9,662.45 : x
  2. Step 2: Convert to fraction form
    17,216.13/23,758.16 = 9,662.45/x
  3. Step 3: Cross multiply
    17,216.13x = 23,758.16 × 9,662.45
  4. Step 4: Simplify right side
    17,216.13x = 229,561,865.99
  5. Step 5: Solve for x
    x = 229,561,865.99/17,216.13
  6. Step 6: Final answer
    x = 13,334.12

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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.