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Finding the Fourth Proportional to 13,682.44, 20,508.64 and 5,360.92

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Solution

The fourth proportional to 13,682.44, 20,508.64 and 5,360.92 is: 8,035.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.44 : 20,508.64 = 5,360.92 : x
  2. Step 2: Convert to fraction form
    13,682.44/20,508.64 = 5,360.92/x
  3. Step 3: Cross multiply
    13,682.44x = 20,508.64 × 5,360.92
  4. Step 4: Simplify right side
    13,682.44x = 109,945,178.35
  5. Step 5: Solve for x
    x = 109,945,178.35/13,682.44
  6. Step 6: Final answer
    x = 8,035.50

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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.