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Finding the Fourth Proportional to 12,817.14, 19,219.01 and 5,791.11

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Solution

The fourth proportional to 12,817.14, 19,219.01 and 5,791.11 is: 8,683.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,817.14 : 19,219.01 = 5,791.11 : x
  2. Step 2: Convert to fraction form
    12,817.14/19,219.01 = 5,791.11/x
  3. Step 3: Cross multiply
    12,817.14x = 19,219.01 × 5,791.11
  4. Step 4: Simplify right side
    12,817.14x = 111,299,372.05
  5. Step 5: Solve for x
    x = 111,299,372.05/12,817.14
  6. Step 6: Final answer
    x = 8,683.64

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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.