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Finding the Fourth Proportional to 19,634.49, 29,489.49 and 16,829.66

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Solution

The fourth proportional to 19,634.49, 29,489.49 and 16,829.66 is: 25,276.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,634.49 : 29,489.49 = 16,829.66 : x
  2. Step 2: Convert to fraction form
    19,634.49/29,489.49 = 16,829.66/x
  3. Step 3: Cross multiply
    19,634.49x = 29,489.49 × 16,829.66
  4. Step 4: Simplify right side
    19,634.49x = 496,297,942.83
  5. Step 5: Solve for x
    x = 496,297,942.83/19,634.49
  6. Step 6: Final answer
    x = 25,276.84

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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.