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Finding the Fourth Proportional to 16,786.64, 23,165.10 and 9,232.97

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Solution

The fourth proportional to 16,786.64, 23,165.10 and 9,232.97 is: 12,741.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,786.64 : 23,165.10 = 9,232.97 : x
  2. Step 2: Convert to fraction form
    16,786.64/23,165.10 = 9,232.97/x
  3. Step 3: Cross multiply
    16,786.64x = 23,165.10 × 9,232.97
  4. Step 4: Simplify right side
    16,786.64x = 213,882,557.52
  5. Step 5: Solve for x
    x = 213,882,557.52/16,786.64
  6. Step 6: Final answer
    x = 12,741.24

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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.