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Finding the Fourth Proportional to 13,683.96, 18,883.82 and 7,396.32

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Solution

The fourth proportional to 13,683.96, 18,883.82 and 7,396.32 is: 10,206.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683.96 : 18,883.82 = 7,396.32 : x
  2. Step 2: Convert to fraction form
    13,683.96/18,883.82 = 7,396.32/x
  3. Step 3: Cross multiply
    13,683.96x = 18,883.82 × 7,396.32
  4. Step 4: Simplify right side
    13,683.96x = 139,670,775.54
  5. Step 5: Solve for x
    x = 139,670,775.54/13,683.96
  6. Step 6: Final answer
    x = 10,206.90

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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.