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Finding the Fourth Proportional to 14,591.44, 21,883.92 and 6,796

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Solution

The fourth proportional to 14,591.44, 21,883.92 and 6,796 is: 10,192.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,591.44 : 21,883.92 = 6,796 : x
  2. Step 2: Convert to fraction form
    14,591.44/21,883.92 = 6,796/x
  3. Step 3: Cross multiply
    14,591.44x = 21,883.92 × 6,796
  4. Step 4: Simplify right side
    14,591.44x = 148,723,120.32
  5. Step 5: Solve for x
    x = 148,723,120.32/14,591.44
  6. Step 6: Final answer
    x = 10,192.49

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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.