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Finding the Fourth Proportional to 13,189.23, 18,201.42 and 7,221.15

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Solution

The fourth proportional to 13,189.23, 18,201.42 and 7,221.15 is: 9,965.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,189.23 : 18,201.42 = 7,221.15 : x
  2. Step 2: Convert to fraction form
    13,189.23/18,201.42 = 7,221.15/x
  3. Step 3: Cross multiply
    13,189.23x = 18,201.42 × 7,221.15
  4. Step 4: Simplify right side
    13,189.23x = 131,435,184.03
  5. Step 5: Solve for x
    x = 131,435,184.03/13,189.23
  6. Step 6: Final answer
    x = 9,965.34

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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.