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Finding the Fourth Proportional to 13,189.14, 18,202.25 and 7,883.84

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Solution

The fourth proportional to 13,189.14, 18,202.25 and 7,883.84 is: 10,880.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,189.14 : 18,202.25 = 7,883.84 : x
  2. Step 2: Convert to fraction form
    13,189.14/18,202.25 = 7,883.84/x
  3. Step 3: Cross multiply
    13,189.14x = 18,202.25 × 7,883.84
  4. Step 4: Simplify right side
    13,189.14x = 143,503,626.64
  5. Step 5: Solve for x
    x = 143,503,626.64/13,189.14
  6. Step 6: Final answer
    x = 10,880.44

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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.