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Finding the Fourth Proportional to 13,790.73, 20,686.14 and 3,402.48

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Solution

The fourth proportional to 13,790.73, 20,686.14 and 3,402.48 is: 5,103.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,790.73 : 20,686.14 = 3,402.48 : x
  2. Step 2: Convert to fraction form
    13,790.73/20,686.14 = 3,402.48/x
  3. Step 3: Cross multiply
    13,790.73x = 20,686.14 × 3,402.48
  4. Step 4: Simplify right side
    13,790.73x = 70,384,177.63
  5. Step 5: Solve for x
    x = 70,384,177.63/13,790.73
  6. Step 6: Final answer
    x = 5,103.73

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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.