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Finding the Fourth Proportional to 16,938.22, 23,372.41 and 9,382.68

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Solution

The fourth proportional to 16,938.22, 23,372.41 and 9,382.68 is: 12,946.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,938.22 : 23,372.41 = 9,382.68 : x
  2. Step 2: Convert to fraction form
    16,938.22/23,372.41 = 9,382.68/x
  3. Step 3: Cross multiply
    16,938.22x = 23,372.41 × 9,382.68
  4. Step 4: Simplify right side
    16,938.22x = 219,295,843.86
  5. Step 5: Solve for x
    x = 219,295,843.86/16,938.22
  6. Step 6: Final answer
    x = 12,946.81

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Why These Related Problems?

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