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Finding the Fourth Proportional to 17,205.82, 23,745.25 and 9,652.87

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Solution

The fourth proportional to 17,205.82, 23,745.25 and 9,652.87 is: 13,321.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,205.82 : 23,745.25 = 9,652.87 : x
  2. Step 2: Convert to fraction form
    17,205.82/23,745.25 = 9,652.87/x
  3. Step 3: Cross multiply
    17,205.82x = 23,745.25 × 9,652.87
  4. Step 4: Simplify right side
    17,205.82x = 229,209,853.12
  5. Step 5: Solve for x
    x = 229,209,853.12/17,205.82
  6. Step 6: Final answer
    x = 13,321.65

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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.