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Finding the Fourth Proportional to 13,682.80, 18,882.29 and 7,395.18

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Solution

The fourth proportional to 13,682.80, 18,882.29 and 7,395.18 is: 10,205.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.80 : 18,882.29 = 7,395.18 : x
  2. Step 2: Convert to fraction form
    13,682.80/18,882.29 = 7,395.18/x
  3. Step 3: Cross multiply
    13,682.80x = 18,882.29 × 7,395.18
  4. Step 4: Simplify right side
    13,682.80x = 139,637,933.36
  5. Step 5: Solve for x
    x = 139,637,933.36/13,682.80
  6. Step 6: Final answer
    x = 10,205.36

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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.