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Finding the Fourth Proportional to 13,814.96, 20,732.01 and 5,494.19

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Solution

The fourth proportional to 13,814.96, 20,732.01 and 5,494.19 is: 8,245.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814.96 : 20,732.01 = 5,494.19 : x
  2. Step 2: Convert to fraction form
    13,814.96/20,732.01 = 5,494.19/x
  3. Step 3: Cross multiply
    13,814.96x = 20,732.01 × 5,494.19
  4. Step 4: Simplify right side
    13,814.96x = 113,905,602.02
  5. Step 5: Solve for x
    x = 113,905,602.02/13,814.96
  6. Step 6: Final answer
    x = 8,245.09

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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.