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Finding the Fourth Proportional to 16,414.72, 22,652 and 9,340.98

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Solution

The fourth proportional to 16,414.72, 22,652 and 9,340.98 is: 12,890.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,414.72 : 22,652 = 9,340.98 : x
  2. Step 2: Convert to fraction form
    16,414.72/22,652 = 9,340.98/x
  3. Step 3: Cross multiply
    16,414.72x = 22,652 × 9,340.98
  4. Step 4: Simplify right side
    16,414.72x = 211,591,878.96
  5. Step 5: Solve for x
    x = 211,591,878.96/16,414.72
  6. Step 6: Final answer
    x = 12,890.37

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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.