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Finding the Fourth Proportional to 17,102.82, 23,601.65 and 9,549.27

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Solution

The fourth proportional to 17,102.82, 23,601.65 and 9,549.27 is: 13,177.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,102.82 : 23,601.65 = 9,549.27 : x
  2. Step 2: Convert to fraction form
    17,102.82/23,601.65 = 9,549.27/x
  3. Step 3: Cross multiply
    17,102.82x = 23,601.65 × 9,549.27
  4. Step 4: Simplify right side
    17,102.82x = 225,378,507.41
  5. Step 5: Solve for x
    x = 225,378,507.41/17,102.82
  6. Step 6: Final answer
    x = 13,177.86

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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.