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Finding the Fourth Proportional to 16,524.16, 24,785.92 and 4,837.12

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Solution

The fourth proportional to 16,524.16, 24,785.92 and 4,837.12 is: 7,255.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,524.16 : 24,785.92 = 4,837.12 : x
  2. Step 2: Convert to fraction form
    16,524.16/24,785.92 = 4,837.12/x
  3. Step 3: Cross multiply
    16,524.16x = 24,785.92 × 4,837.12
  4. Step 4: Simplify right side
    16,524.16x = 119,892,469.35
  5. Step 5: Solve for x
    x = 119,892,469.35/16,524.16
  6. Step 6: Final answer
    x = 7,255.59

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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.