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Finding the Fourth Proportional to 16,832.94, 23,229.56 and 9,660.94

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Solution

The fourth proportional to 16,832.94, 23,229.56 and 9,660.94 is: 13,332.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,832.94 : 23,229.56 = 9,660.94 : x
  2. Step 2: Convert to fraction form
    16,832.94/23,229.56 = 9,660.94/x
  3. Step 3: Cross multiply
    16,832.94x = 23,229.56 × 9,660.94
  4. Step 4: Simplify right side
    16,832.94x = 224,419,385.39
  5. Step 5: Solve for x
    x = 224,419,385.39/16,832.94
  6. Step 6: Final answer
    x = 13,332.16

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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.