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Finding the Fourth Proportional to 18,524.64, 27,784.22 and 6,835.18

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Solution

The fourth proportional to 18,524.64, 27,784.22 and 6,835.18 is: 10,251.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,524.64 : 27,784.22 = 6,835.18 : x
  2. Step 2: Convert to fraction form
    18,524.64/27,784.22 = 6,835.18/x
  3. Step 3: Cross multiply
    18,524.64x = 27,784.22 × 6,835.18
  4. Step 4: Simplify right side
    18,524.64x = 189,910,144.86
  5. Step 5: Solve for x
    x = 189,910,144.86/18,524.64
  6. Step 6: Final answer
    x = 10,251.76

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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.