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Finding the Fourth Proportional to 16,786.70, 23,165.19 and 9,233.81

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Solution

The fourth proportional to 16,786.70, 23,165.19 and 9,233.81 is: 12,742.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,786.70 : 23,165.19 = 9,233.81 : x
  2. Step 2: Convert to fraction form
    16,786.70/23,165.19 = 9,233.81/x
  3. Step 3: Cross multiply
    16,786.70x = 23,165.19 × 9,233.81
  4. Step 4: Simplify right side
    16,786.70x = 213,902,847.25
  5. Step 5: Solve for x
    x = 213,902,847.25/16,786.70
  6. Step 6: Final answer
    x = 12,742.40

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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.