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Finding the Fourth Proportional to 16,112.16, 24,176.88 and 6,876

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Solution

The fourth proportional to 16,112.16, 24,176.88 and 6,876 is: 10,317.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,112.16 : 24,176.88 = 6,876 : x
  2. Step 2: Convert to fraction form
    16,112.16/24,176.88 = 6,876/x
  3. Step 3: Cross multiply
    16,112.16x = 24,176.88 × 6,876
  4. Step 4: Simplify right side
    16,112.16x = 166,240,226.88
  5. Step 5: Solve for x
    x = 166,240,226.88/16,112.16
  6. Step 6: Final answer
    x = 10,317.69

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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.