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Finding the Fourth Proportional to 16,456, 22,709.34 and 11,496.64

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Solution

The fourth proportional to 16,456, 22,709.34 and 11,496.64 is: 15,865.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,456 : 22,709.34 = 11,496.64 : x
  2. Step 2: Convert to fraction form
    16,456/22,709.34 = 11,496.64/x
  3. Step 3: Cross multiply
    16,456x = 22,709.34 × 11,496.64
  4. Step 4: Simplify right side
    16,456x = 261,081,106.62
  5. Step 5: Solve for x
    x = 261,081,106.62/16,456
  6. Step 6: Final answer
    x = 15,865.41

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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.