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Finding the Fourth Proportional to 13,428.90, 20,143.62 and 6,409.62

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Solution

The fourth proportional to 13,428.90, 20,143.62 and 6,409.62 is: 9,614.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,428.90 : 20,143.62 = 6,409.62 : x
  2. Step 2: Convert to fraction form
    13,428.90/20,143.62 = 6,409.62/x
  3. Step 3: Cross multiply
    13,428.90x = 20,143.62 × 6,409.62
  4. Step 4: Simplify right side
    13,428.90x = 129,112,949.62
  5. Step 5: Solve for x
    x = 129,112,949.62/13,428.90
  6. Step 6: Final answer
    x = 9,614.56

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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.