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Finding the Fourth Proportional to 13,814.40, 20,722.56 and 3,953.76

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Solution

The fourth proportional to 13,814.40, 20,722.56 and 3,953.76 is: 5,930.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814.40 : 20,722.56 = 3,953.76 : x
  2. Step 2: Convert to fraction form
    13,814.40/20,722.56 = 3,953.76/x
  3. Step 3: Cross multiply
    13,814.40x = 20,722.56 × 3,953.76
  4. Step 4: Simplify right side
    13,814.40x = 81,932,028.83
  5. Step 5: Solve for x
    x = 81,932,028.83/13,814.40
  6. Step 6: Final answer
    x = 5,930.91

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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.