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Finding the Fourth Proportional to 13,684.72, 20,529.96 and 4,450

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Solution

The fourth proportional to 13,684.72, 20,529.96 and 4,450 is: 6,675.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684.72 : 20,529.96 = 4,450 : x
  2. Step 2: Convert to fraction form
    13,684.72/20,529.96 = 4,450/x
  3. Step 3: Cross multiply
    13,684.72x = 20,529.96 × 4,450
  4. Step 4: Simplify right side
    13,684.72x = 91,358,322
  5. Step 5: Solve for x
    x = 91,358,322/13,684.72
  6. Step 6: Final answer
    x = 6,675.94

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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.