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Finding the Fourth Proportional to 16,517.23, 24,779.63 and 7,158.82

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Solution

The fourth proportional to 16,517.23, 24,779.63 and 7,158.82 is: 10,739.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,517.23 : 24,779.63 = 7,158.82 : x
  2. Step 2: Convert to fraction form
    16,517.23/24,779.63 = 7,158.82/x
  3. Step 3: Cross multiply
    16,517.23x = 24,779.63 × 7,158.82
  4. Step 4: Simplify right side
    16,517.23x = 177,392,910.84
  5. Step 5: Solve for x
    x = 177,392,910.84/16,517.23
  6. Step 6: Final answer
    x = 10,739.87

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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.