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Finding the Fourth Proportional to 13,683.87, 18,883.74 and 7,396.25

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Solution

The fourth proportional to 13,683.87, 18,883.74 and 7,396.25 is: 10,206.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683.87 : 18,883.74 = 7,396.25 : x
  2. Step 2: Convert to fraction form
    13,683.87/18,883.74 = 7,396.25/x
  3. Step 3: Cross multiply
    13,683.87x = 18,883.74 × 7,396.25
  4. Step 4: Simplify right side
    13,683.87x = 139,668,767.56
  5. Step 5: Solve for x
    x = 139,668,767.56/13,683.87
  6. Step 6: Final answer
    x = 10,206.82

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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.