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Finding the Fourth Proportional to 16,676.92, 23,013.32 and 9,123.40

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Solution

The fourth proportional to 16,676.92, 23,013.32 and 9,123.40 is: 12,589.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,676.92 : 23,013.32 = 9,123.40 : x
  2. Step 2: Convert to fraction form
    16,676.92/23,013.32 = 9,123.40/x
  3. Step 3: Cross multiply
    16,676.92x = 23,013.32 × 9,123.40
  4. Step 4: Simplify right side
    16,676.92x = 209,959,723.69
  5. Step 5: Solve for x
    x = 209,959,723.69/16,676.92
  6. Step 6: Final answer
    x = 12,589.84

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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.