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Finding the Fourth Proportional to 13,682.96, 20,527.92 and 3,822.26

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Solution

The fourth proportional to 13,682.96, 20,527.92 and 3,822.26 is: 5,734.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.96 : 20,527.92 = 3,822.26 : x
  2. Step 2: Convert to fraction form
    13,682.96/20,527.92 = 3,822.26/x
  3. Step 3: Cross multiply
    13,682.96x = 20,527.92 × 3,822.26
  4. Step 4: Simplify right side
    13,682.96x = 78,463,047.50
  5. Step 5: Solve for x
    x = 78,463,047.50/13,682.96
  6. Step 6: Final answer
    x = 5,734.36

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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.