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Finding the Fourth Proportional to 13,540.44, 20,254.50 and 12,711

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Solution

The fourth proportional to 13,540.44, 20,254.50 and 12,711 is: 19,013.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,540.44 : 20,254.50 = 12,711 : x
  2. Step 2: Convert to fraction form
    13,540.44/20,254.50 = 12,711/x
  3. Step 3: Cross multiply
    13,540.44x = 20,254.50 × 12,711
  4. Step 4: Simplify right side
    13,540.44x = 257,454,949.50
  5. Step 5: Solve for x
    x = 257,454,949.50/13,540.44
  6. Step 6: Final answer
    x = 19,013.78

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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.