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Finding the Fourth Proportional to 13,814.61, 20,717.46 and 5,493.12

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Solution

The fourth proportional to 13,814.61, 20,717.46 and 5,493.12 is: 8,237.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814.61 : 20,717.46 = 5,493.12 : x
  2. Step 2: Convert to fraction form
    13,814.61/20,717.46 = 5,493.12/x
  3. Step 3: Cross multiply
    13,814.61x = 20,717.46 × 5,493.12
  4. Step 4: Simplify right side
    13,814.61x = 113,803,493.88
  5. Step 5: Solve for x
    x = 113,803,493.88/13,814.61
  6. Step 6: Final answer
    x = 8,237.91

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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.