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Finding the Fourth Proportional to 16,559.20, 24,832.20 and 5,462.80

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Solution

The fourth proportional to 16,559.20, 24,832.20 and 5,462.80 is: 8,192.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,559.20 : 24,832.20 = 5,462.80 : x
  2. Step 2: Convert to fraction form
    16,559.20/24,832.20 = 5,462.80/x
  3. Step 3: Cross multiply
    16,559.20x = 24,832.20 × 5,462.80
  4. Step 4: Simplify right side
    16,559.20x = 135,653,342.16
  5. Step 5: Solve for x
    x = 135,653,342.16/16,559.20
  6. Step 6: Final answer
    x = 8,192.02

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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.