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Finding the Fourth Proportional to 13,414.26, 18,510.81 and 8,378.19

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Solution

The fourth proportional to 13,414.26, 18,510.81 and 8,378.19 is: 11,561.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.26 : 18,510.81 = 8,378.19 : x
  2. Step 2: Convert to fraction form
    13,414.26/18,510.81 = 8,378.19/x
  3. Step 3: Cross multiply
    13,414.26x = 18,510.81 × 8,378.19
  4. Step 4: Simplify right side
    13,414.26x = 155,087,083.23
  5. Step 5: Solve for x
    x = 155,087,083.23/13,414.26
  6. Step 6: Final answer
    x = 11,561.36

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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.