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Finding the Fourth Proportional to 16,765.11, 23,134.81 and 9,209.97

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Solution

The fourth proportional to 16,765.11, 23,134.81 and 9,209.97 is: 12,709.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,765.11 : 23,134.81 = 9,209.97 : x
  2. Step 2: Convert to fraction form
    16,765.11/23,134.81 = 9,209.97/x
  3. Step 3: Cross multiply
    16,765.11x = 23,134.81 × 9,209.97
  4. Step 4: Simplify right side
    16,765.11x = 213,070,906.06
  5. Step 5: Solve for x
    x = 213,070,906.06/16,765.11
  6. Step 6: Final answer
    x = 12,709.19

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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.