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Finding the Fourth Proportional to 16,186.60, 24,278.70 and 6,824.20

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Solution

The fourth proportional to 16,186.60, 24,278.70 and 6,824.20 is: 10,235.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,186.60 : 24,278.70 = 6,824.20 : x
  2. Step 2: Convert to fraction form
    16,186.60/24,278.70 = 6,824.20/x
  3. Step 3: Cross multiply
    16,186.60x = 24,278.70 × 6,824.20
  4. Step 4: Simplify right side
    16,186.60x = 165,682,704.54
  5. Step 5: Solve for x
    x = 165,682,704.54/16,186.60
  6. Step 6: Final answer
    x = 10,235.79

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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.