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Finding the Fourth Proportional to 13,683.25, 18,882.93 and 7,395.67

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Solution

The fourth proportional to 13,683.25, 18,882.93 and 7,395.67 is: 10,206.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683.25 : 18,882.93 = 7,395.67 : x
  2. Step 2: Convert to fraction form
    13,683.25/18,882.93 = 7,395.67/x
  3. Step 3: Cross multiply
    13,683.25x = 18,882.93 × 7,395.67
  4. Step 4: Simplify right side
    13,683.25x = 139,651,918.91
  5. Step 5: Solve for x
    x = 139,651,918.91/13,683.25
  6. Step 6: Final answer
    x = 10,206.05

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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.