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Finding the Fourth Proportional to 14,813.46, 22,194.27 and 8,644.50

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Solution

The fourth proportional to 14,813.46, 22,194.27 and 8,644.50 is: 12,951.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,813.46 : 22,194.27 = 8,644.50 : x
  2. Step 2: Convert to fraction form
    14,813.46/22,194.27 = 8,644.50/x
  3. Step 3: Cross multiply
    14,813.46x = 22,194.27 × 8,644.50
  4. Step 4: Simplify right side
    14,813.46x = 191,858,367.02
  5. Step 5: Solve for x
    x = 191,858,367.02/14,813.46
  6. Step 6: Final answer
    x = 12,951.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.