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Finding the Fourth Proportional to 13,682.66, 18,882.07 and 7,395.03

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Solution

The fourth proportional to 13,682.66, 18,882.07 and 7,395.03 is: 10,205.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.66 : 18,882.07 = 7,395.03 : x
  2. Step 2: Convert to fraction form
    13,682.66/18,882.07 = 7,395.03/x
  3. Step 3: Cross multiply
    13,682.66x = 18,882.07 × 7,395.03
  4. Step 4: Simplify right side
    13,682.66x = 139,633,437.14
  5. Step 5: Solve for x
    x = 139,633,437.14/13,682.66
  6. Step 6: Final answer
    x = 10,205.14

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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.