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Finding the Fourth Proportional to 13,683.82, 18,883.68 and 7,396.20

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Solution

The fourth proportional to 13,683.82, 18,883.68 and 7,396.20 is: 10,206.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683.82 : 18,883.68 = 7,396.20 : x
  2. Step 2: Convert to fraction form
    13,683.82/18,883.68 = 7,396.20/x
  3. Step 3: Cross multiply
    13,683.82x = 18,883.68 × 7,396.20
  4. Step 4: Simplify right side
    13,683.82x = 139,667,474.02
  5. Step 5: Solve for x
    x = 139,667,474.02/13,683.82
  6. Step 6: Final answer
    x = 10,206.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.