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Finding the Fourth Proportional to 13,189.91, 18,202.08 and 7,221.58

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Solution

The fourth proportional to 13,189.91, 18,202.08 and 7,221.58 is: 9,965.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,189.91 : 18,202.08 = 7,221.58 : x
  2. Step 2: Convert to fraction form
    13,189.91/18,202.08 = 7,221.58/x
  3. Step 3: Cross multiply
    13,189.91x = 18,202.08 × 7,221.58
  4. Step 4: Simplify right side
    13,189.91x = 131,447,758.46
  5. Step 5: Solve for x
    x = 131,447,758.46/13,189.91
  6. Step 6: Final answer
    x = 9,965.78

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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.