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Finding the Fourth Proportional to 16,767.27, 23,138.71 and 9,213.68

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Solution

The fourth proportional to 16,767.27, 23,138.71 and 9,213.68 is: 12,714.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,767.27 : 23,138.71 = 9,213.68 : x
  2. Step 2: Convert to fraction form
    16,767.27/23,138.71 = 9,213.68/x
  3. Step 3: Cross multiply
    16,767.27x = 23,138.71 × 9,213.68
  4. Step 4: Simplify right side
    16,767.27x = 213,192,669.55
  5. Step 5: Solve for x
    x = 213,192,669.55/16,767.27
  6. Step 6: Final answer
    x = 12,714.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.