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Finding the Fourth Proportional to 13,427.39, 20,141.49 and 6,408.15

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Solution

The fourth proportional to 13,427.39, 20,141.49 and 6,408.15 is: 9,612.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,427.39 : 20,141.49 = 6,408.15 : x
  2. Step 2: Convert to fraction form
    13,427.39/20,141.49 = 6,408.15/x
  3. Step 3: Cross multiply
    13,427.39x = 20,141.49 × 6,408.15
  4. Step 4: Simplify right side
    13,427.39x = 129,069,583.57
  5. Step 5: Solve for x
    x = 129,069,583.57/13,427.39
  6. Step 6: Final answer
    x = 9,612.41

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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.