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Finding the Fourth Proportional to 13,428.67, 20,143.41 and 6,409.43

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Solution

The fourth proportional to 13,428.67, 20,143.41 and 6,409.43 is: 9,614.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,428.67 : 20,143.41 = 6,409.43 : x
  2. Step 2: Convert to fraction form
    13,428.67/20,143.41 = 6,409.43/x
  3. Step 3: Cross multiply
    13,428.67x = 20,143.41 × 6,409.43
  4. Step 4: Simplify right side
    13,428.67x = 129,107,776.36
  5. Step 5: Solve for x
    x = 129,107,776.36/13,428.67
  6. Step 6: Final answer
    x = 9,614.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.