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Finding the Fourth Proportional to 16,738.31, 23,098.87 and 9,286.31

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Solution

The fourth proportional to 16,738.31, 23,098.87 and 9,286.31 is: 12,815.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,738.31 : 23,098.87 = 9,286.31 : x
  2. Step 2: Convert to fraction form
    16,738.31/23,098.87 = 9,286.31/x
  3. Step 3: Cross multiply
    16,738.31x = 23,098.87 × 9,286.31
  4. Step 4: Simplify right side
    16,738.31x = 214,503,336.82
  5. Step 5: Solve for x
    x = 214,503,336.82/16,738.31
  6. Step 6: Final answer
    x = 12,815.11

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1.5x scale

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.