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Finding the Fourth Proportional to 23,676.89, 32,672.97 and 13,598.24

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Solution

The fourth proportional to 23,676.89, 32,672.97 and 13,598.24 is: 18,764.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,676.89 : 32,672.97 = 13,598.24 : x
  2. Step 2: Convert to fraction form
    23,676.89/32,672.97 = 13,598.24/x
  3. Step 3: Cross multiply
    23,676.89x = 32,672.97 × 13,598.24
  4. Step 4: Simplify right side
    23,676.89x = 444,294,724.21
  5. Step 5: Solve for x
    x = 444,294,724.21/23,676.89
  6. Step 6: Final answer
    x = 18,764.91

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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.