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Finding the Fourth Proportional to 13,682.96, 18,882.51 and 7,395.33

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Solution

The fourth proportional to 13,682.96, 18,882.51 and 7,395.33 is: 10,205.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.96 : 18,882.51 = 7,395.33 : x
  2. Step 2: Convert to fraction form
    13,682.96/18,882.51 = 7,395.33/x
  3. Step 3: Cross multiply
    13,682.96x = 18,882.51 × 7,395.33
  4. Step 4: Simplify right side
    13,682.96x = 139,642,355.70
  5. Step 5: Solve for x
    x = 139,642,355.70/13,682.96
  6. Step 6: Final answer
    x = 10,205.57

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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.