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Finding the Fourth Proportional to 16,178.62, 24,276.65 and 6,825.12

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Solution

The fourth proportional to 16,178.62, 24,276.65 and 6,825.12 is: 10,241.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,178.62 : 24,276.65 = 6,825.12 : x
  2. Step 2: Convert to fraction form
    16,178.62/24,276.65 = 6,825.12/x
  3. Step 3: Cross multiply
    16,178.62x = 24,276.65 × 6,825.12
  4. Step 4: Simplify right side
    16,178.62x = 165,691,157.55
  5. Step 5: Solve for x
    x = 165,691,157.55/16,178.62
  6. Step 6: Final answer
    x = 10,241.36

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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.