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Finding the Fourth Proportional to 13,189.83, 18,202.02 and 7,221.57

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Solution

The fourth proportional to 13,189.83, 18,202.02 and 7,221.57 is: 9,965.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,189.83 : 18,202.02 = 7,221.57 : x
  2. Step 2: Convert to fraction form
    13,189.83/18,202.02 = 7,221.57/x
  3. Step 3: Cross multiply
    13,189.83x = 18,202.02 × 7,221.57
  4. Step 4: Simplify right side
    13,189.83x = 131,447,161.57
  5. Step 5: Solve for x
    x = 131,447,161.57/13,189.83
  6. Step 6: Final answer
    x = 9,965.80

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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.