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Finding the Fourth Proportional to 13,006.80, 19,481.40 and 10,414.80

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Solution

The fourth proportional to 13,006.80, 19,481.40 and 10,414.80 is: 15,599.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.80 : 19,481.40 = 10,414.80 : x
  2. Step 2: Convert to fraction form
    13,006.80/19,481.40 = 10,414.80/x
  3. Step 3: Cross multiply
    13,006.80x = 19,481.40 × 10,414.80
  4. Step 4: Simplify right side
    13,006.80x = 202,894,884.72
  5. Step 5: Solve for x
    x = 202,894,884.72/13,006.80
  6. Step 6: Final answer
    x = 15,599.14

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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.