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Finding the Fourth Proportional to 16,193.59, 22,352.75 and 9,481.38

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Solution

The fourth proportional to 16,193.59, 22,352.75 and 9,481.38 is: 13,087.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,193.59 : 22,352.75 = 9,481.38 : x
  2. Step 2: Convert to fraction form
    16,193.59/22,352.75 = 9,481.38/x
  3. Step 3: Cross multiply
    16,193.59x = 22,352.75 × 9,481.38
  4. Step 4: Simplify right side
    16,193.59x = 211,934,805.03
  5. Step 5: Solve for x
    x = 211,934,805.03/16,193.59
  6. Step 6: Final answer
    x = 13,087.57

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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.