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Finding the Fourth Proportional to 16,336.94, 22,546.31 and 9,263.84

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Solution

The fourth proportional to 16,336.94, 22,546.31 and 9,263.84 is: 12,784.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,336.94 : 22,546.31 = 9,263.84 : x
  2. Step 2: Convert to fraction form
    16,336.94/22,546.31 = 9,263.84/x
  3. Step 3: Cross multiply
    16,336.94x = 22,546.31 × 9,263.84
  4. Step 4: Simplify right side
    16,336.94x = 208,865,249.38
  5. Step 5: Solve for x
    x = 208,865,249.38/16,336.94
  6. Step 6: Final answer
    x = 12,784.85

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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.