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Finding the Fourth Proportional to 13,604.34, 20,414.39 and 5,706.15

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Solution

The fourth proportional to 13,604.34, 20,414.39 and 5,706.15 is: 8,562.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,604.34 : 20,414.39 = 5,706.15 : x
  2. Step 2: Convert to fraction form
    13,604.34/20,414.39 = 5,706.15/x
  3. Step 3: Cross multiply
    13,604.34x = 20,414.39 × 5,706.15
  4. Step 4: Simplify right side
    13,604.34x = 116,487,539.88
  5. Step 5: Solve for x
    x = 116,487,539.88/13,604.34
  6. Step 6: Final answer
    x = 8,562.53

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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.