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Finding the Fourth Proportional to 13,863.45, 20,770.43 and 7,191.89

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Solution

The fourth proportional to 13,863.45, 20,770.43 and 7,191.89 is: 10,774.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,863.45 : 20,770.43 = 7,191.89 : x
  2. Step 2: Convert to fraction form
    13,863.45/20,770.43 = 7,191.89/x
  3. Step 3: Cross multiply
    13,863.45x = 20,770.43 × 7,191.89
  4. Step 4: Simplify right side
    13,863.45x = 149,378,585.89
  5. Step 5: Solve for x
    x = 149,378,585.89/13,863.45
  6. Step 6: Final answer
    x = 10,774.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.