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Finding the Fourth Proportional to 13,189.82, 18,202.19 and 8,153.92

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Solution

The fourth proportional to 13,189.82, 18,202.19 and 8,153.92 is: 11,252.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,189.82 : 18,202.19 = 8,153.92 : x
  2. Step 2: Convert to fraction form
    13,189.82/18,202.19 = 8,153.92/x
  3. Step 3: Cross multiply
    13,189.82x = 18,202.19 × 8,153.92
  4. Step 4: Simplify right side
    13,189.82x = 148,419,114.81
  5. Step 5: Solve for x
    x = 148,419,114.81/13,189.82
  6. Step 6: Final answer
    x = 11,252.55

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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.