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Finding the Fourth Proportional to 13,682.40, 20,520.96 and 4,446.24

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Solution

The fourth proportional to 13,682.40, 20,520.96 and 4,446.24 is: 6,668.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.40 : 20,520.96 = 4,446.24 : x
  2. Step 2: Convert to fraction form
    13,682.40/20,520.96 = 4,446.24/x
  3. Step 3: Cross multiply
    13,682.40x = 20,520.96 × 4,446.24
  4. Step 4: Simplify right side
    13,682.40x = 91,241,113.19
  5. Step 5: Solve for x
    x = 91,241,113.19/13,682.40
  6. Step 6: Final answer
    x = 6,668.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.