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Finding the Fourth Proportional to 13,166.31, 18,169.38 and 7,197.96

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Solution

The fourth proportional to 13,166.31, 18,169.38 and 7,197.96 is: 9,933.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,166.31 : 18,169.38 = 7,197.96 : x
  2. Step 2: Convert to fraction form
    13,166.31/18,169.38 = 7,197.96/x
  3. Step 3: Cross multiply
    13,166.31x = 18,169.38 × 7,197.96
  4. Step 4: Simplify right side
    13,166.31x = 130,782,402.33
  5. Step 5: Solve for x
    x = 130,782,402.33/13,166.31
  6. Step 6: Final answer
    x = 9,933.11

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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.