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Finding the Fourth Proportional to 21,794.32, 32,709 and 11,267.43

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Solution

The fourth proportional to 21,794.32, 32,709 and 11,267.43 is: 16,910.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,794.32 : 32,709 = 11,267.43 : x
  2. Step 2: Convert to fraction form
    21,794.32/32,709 = 11,267.43/x
  3. Step 3: Cross multiply
    21,794.32x = 32,709 × 11,267.43
  4. Step 4: Simplify right side
    21,794.32x = 368,546,367.87
  5. Step 5: Solve for x
    x = 368,546,367.87/21,794.32
  6. Step 6: Final answer
    x = 16,910.20

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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.