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Finding the Fourth Proportional to 16,676.91, 23,014.17 and 9,123.06

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Solution

The fourth proportional to 16,676.91, 23,014.17 and 9,123.06 is: 12,589.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,676.91 : 23,014.17 = 9,123.06 : x
  2. Step 2: Convert to fraction form
    16,676.91/23,014.17 = 9,123.06/x
  3. Step 3: Cross multiply
    16,676.91x = 23,014.17 × 9,123.06
  4. Step 4: Simplify right side
    16,676.91x = 209,959,653.76
  5. Step 5: Solve for x
    x = 209,959,653.76/16,676.91
  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.