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Finding the Fourth Proportional to 13,443.53, 18,553.85 and 8,138.43

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Solution

The fourth proportional to 13,443.53, 18,553.85 and 8,138.43 is: 11,232.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,443.53 : 18,553.85 = 8,138.43 : x
  2. Step 2: Convert to fraction form
    13,443.53/18,553.85 = 8,138.43/x
  3. Step 3: Cross multiply
    13,443.53x = 18,553.85 × 8,138.43
  4. Step 4: Simplify right side
    13,443.53x = 150,999,168.76
  5. Step 5: Solve for x
    x = 150,999,168.76/13,443.53
  6. Step 6: Final answer
    x = 11,232.11

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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.