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Finding the Fourth Proportional to 13,843.55, 19,105.12 and 7,877.14

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Solution

The fourth proportional to 13,843.55, 19,105.12 and 7,877.14 is: 10,871.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,843.55 : 19,105.12 = 7,877.14 : x
  2. Step 2: Convert to fraction form
    13,843.55/19,105.12 = 7,877.14/x
  3. Step 3: Cross multiply
    13,843.55x = 19,105.12 × 7,877.14
  4. Step 4: Simplify right side
    13,843.55x = 150,493,667.04
  5. Step 5: Solve for x
    x = 150,493,667.04/13,843.55
  6. Step 6: Final answer
    x = 10,871.03

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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.