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Finding the Fourth Proportional to 13,145.92, 19,672.80 and 10,205.44

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Solution

The fourth proportional to 13,145.92, 19,672.80 and 10,205.44 is: 15,272.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,145.92 : 19,672.80 = 10,205.44 : x
  2. Step 2: Convert to fraction form
    13,145.92/19,672.80 = 10,205.44/x
  3. Step 3: Cross multiply
    13,145.92x = 19,672.80 × 10,205.44
  4. Step 4: Simplify right side
    13,145.92x = 200,769,580.03
  5. Step 5: Solve for x
    x = 200,769,580.03/13,145.92
  6. Step 6: Final answer
    x = 15,272.39

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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.