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Finding the Fourth Proportional to 29,668.82, 40,941.39 and 16,237.47

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Solution

The fourth proportional to 29,668.82, 40,941.39 and 16,237.47 is: 22,406.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,668.82 : 40,941.39 = 16,237.47 : x
  2. Step 2: Convert to fraction form
    29,668.82/40,941.39 = 16,237.47/x
  3. Step 3: Cross multiply
    29,668.82x = 40,941.39 × 16,237.47
  4. Step 4: Simplify right side
    29,668.82x = 664,784,591.88
  5. Step 5: Solve for x
    x = 664,784,591.88/29,668.82
  6. Step 6: Final answer
    x = 22,406.85

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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.