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Finding the Fourth Proportional to 16,760.72, 23,129.16 and 9,309.20

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Solution

The fourth proportional to 16,760.72, 23,129.16 and 9,309.20 is: 12,846.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,760.72 : 23,129.16 = 9,309.20 : x
  2. Step 2: Convert to fraction form
    16,760.72/23,129.16 = 9,309.20/x
  3. Step 3: Cross multiply
    16,760.72x = 23,129.16 × 9,309.20
  4. Step 4: Simplify right side
    16,760.72x = 215,313,976.27
  5. Step 5: Solve for x
    x = 215,313,976.27/16,760.72
  6. Step 6: Final answer
    x = 12,846.34

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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.