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Finding the Fourth Proportional to 16,196.56, 24,293.94 and 6,832.60

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Solution

The fourth proportional to 16,196.56, 24,293.94 and 6,832.60 is: 10,248.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,196.56 : 24,293.94 = 6,832.60 : x
  2. Step 2: Convert to fraction form
    16,196.56/24,293.94 = 6,832.60/x
  3. Step 3: Cross multiply
    16,196.56x = 24,293.94 × 6,832.60
  4. Step 4: Simplify right side
    16,196.56x = 165,990,774.44
  5. Step 5: Solve for x
    x = 165,990,774.44/16,196.56
  6. Step 6: Final answer
    x = 10,248.52

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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.