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Finding the Fourth Proportional to 13,685.89, 20,552.28 and 8,451.87

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Solution

The fourth proportional to 13,685.89, 20,552.28 and 8,451.87 is: 12,692.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685.89 : 20,552.28 = 8,451.87 : x
  2. Step 2: Convert to fraction form
    13,685.89/20,552.28 = 8,451.87/x
  3. Step 3: Cross multiply
    13,685.89x = 20,552.28 × 8,451.87
  4. Step 4: Simplify right side
    13,685.89x = 173,705,195.34
  5. Step 5: Solve for x
    x = 173,705,195.34/13,685.89
  6. Step 6: Final answer
    x = 12,692.29

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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.