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Finding the Fourth Proportional to 17,105, 23,605.98 and 9,653

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Solution

The fourth proportional to 17,105, 23,605.98 and 9,653 is: 13,321.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,105 : 23,605.98 = 9,653 : x
  2. Step 2: Convert to fraction form
    17,105/23,605.98 = 9,653/x
  3. Step 3: Cross multiply
    17,105x = 23,605.98 × 9,653
  4. Step 4: Simplify right side
    17,105x = 227,868,524.94
  5. Step 5: Solve for x
    x = 227,868,524.94/17,105
  6. Step 6: Final answer
    x = 13,321.75

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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.