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Finding the Fourth Proportional to 13,782.20, 20,673.30 and 12,251.30

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Solution

The fourth proportional to 13,782.20, 20,673.30 and 12,251.30 is: 18,376.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.20 : 20,673.30 = 12,251.30 : x
  2. Step 2: Convert to fraction form
    13,782.20/20,673.30 = 12,251.30/x
  3. Step 3: Cross multiply
    13,782.20x = 20,673.30 × 12,251.30
  4. Step 4: Simplify right side
    13,782.20x = 253,274,800.29
  5. Step 5: Solve for x
    x = 253,274,800.29/13,782.20
  6. Step 6: Final answer
    x = 18,376.95

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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.