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Finding the Fourth Proportional to 16,181, 22,329.24 and 9,107

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Solution

The fourth proportional to 16,181, 22,329.24 and 9,107 is: 12,567.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,181 : 22,329.24 = 9,107 : x
  2. Step 2: Convert to fraction form
    16,181/22,329.24 = 9,107/x
  3. Step 3: Cross multiply
    16,181x = 22,329.24 × 9,107
  4. Step 4: Simplify right side
    16,181x = 203,352,388.68
  5. Step 5: Solve for x
    x = 203,352,388.68/16,181
  6. Step 6: Final answer
    x = 12,567.36

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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.