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Finding the Fourth Proportional to 21,160.46, 29,198.36 and 11,729

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Solution

The fourth proportional to 21,160.46, 29,198.36 and 11,729 is: 16,184.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,160.46 : 29,198.36 = 11,729 : x
  2. Step 2: Convert to fraction form
    21,160.46/29,198.36 = 11,729/x
  3. Step 3: Cross multiply
    21,160.46x = 29,198.36 × 11,729
  4. Step 4: Simplify right side
    21,160.46x = 342,467,564.44
  5. Step 5: Solve for x
    x = 342,467,564.44/21,160.46
  6. Step 6: Final answer
    x = 16,184.32

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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.