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Finding the Fourth Proportional to 29,658.49, 40,926.96 and 16,227.07

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Solution

The fourth proportional to 29,658.49, 40,926.96 and 16,227.07 is: 22,392.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,658.49 : 40,926.96 = 16,227.07 : x
  2. Step 2: Convert to fraction form
    29,658.49/40,926.96 = 16,227.07/x
  3. Step 3: Cross multiply
    29,658.49x = 40,926.96 × 16,227.07
  4. Step 4: Simplify right side
    29,658.49x = 664,124,542.49
  5. Step 5: Solve for x
    x = 664,124,542.49/29,658.49
  6. Step 6: Final answer
    x = 22,392.39

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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.