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Finding the Fourth Proportional to 13,814.64, 20,722.05 and 3,426.48

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Solution

The fourth proportional to 13,814.64, 20,722.05 and 3,426.48 is: 5,139.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814.64 : 20,722.05 = 3,426.48 : x
  2. Step 2: Convert to fraction form
    13,814.64/20,722.05 = 3,426.48/x
  3. Step 3: Cross multiply
    13,814.64x = 20,722.05 × 3,426.48
  4. Step 4: Simplify right side
    13,814.64x = 71,003,689.88
  5. Step 5: Solve for x
    x = 71,003,689.88/13,814.64
  6. Step 6: Final answer
    x = 5,139.74

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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.