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Finding the Fourth Proportional to 17,286.30, 23,854.14 and 9,733.02

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Solution

The fourth proportional to 17,286.30, 23,854.14 and 9,733.02 is: 13,431.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,286.30 : 23,854.14 = 9,733.02 : x
  2. Step 2: Convert to fraction form
    17,286.30/23,854.14 = 9,733.02/x
  3. Step 3: Cross multiply
    17,286.30x = 23,854.14 × 9,733.02
  4. Step 4: Simplify right side
    17,286.30x = 232,172,821.70
  5. Step 5: Solve for x
    x = 232,172,821.70/17,286.30
  6. Step 6: Final answer
    x = 13,431.03

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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.