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Finding the Fourth Proportional to 13,189.71, 18,202.26 and 7,221.43

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Solution

The fourth proportional to 13,189.71, 18,202.26 and 7,221.43 is: 9,965.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,189.71 : 18,202.26 = 7,221.43 : x
  2. Step 2: Convert to fraction form
    13,189.71/18,202.26 = 7,221.43/x
  3. Step 3: Cross multiply
    13,189.71x = 18,202.26 × 7,221.43
  4. Step 4: Simplify right side
    13,189.71x = 131,446,324.76
  5. Step 5: Solve for x
    x = 131,446,324.76/13,189.71
  6. Step 6: Final answer
    x = 9,965.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.