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Finding the Fourth Proportional to 16,537.85, 24,806.66 and 6,676.98

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Solution

The fourth proportional to 16,537.85, 24,806.66 and 6,676.98 is: 10,015.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,537.85 : 24,806.66 = 6,676.98 : x
  2. Step 2: Convert to fraction form
    16,537.85/24,806.66 = 6,676.98/x
  3. Step 3: Cross multiply
    16,537.85x = 24,806.66 × 6,676.98
  4. Step 4: Simplify right side
    16,537.85x = 165,633,539.30
  5. Step 5: Solve for x
    x = 165,633,539.30/16,537.85
  6. Step 6: Final answer
    x = 10,015.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.