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Finding the Fourth Proportional to 13,380.98, 18,448.24 and 11,512.63

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Solution

The fourth proportional to 13,380.98, 18,448.24 and 11,512.63 is: 15,872.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,380.98 : 18,448.24 = 11,512.63 : x
  2. Step 2: Convert to fraction form
    13,380.98/18,448.24 = 11,512.63/x
  3. Step 3: Cross multiply
    13,380.98x = 18,448.24 × 11,512.63
  4. Step 4: Simplify right side
    13,380.98x = 212,387,761.27
  5. Step 5: Solve for x
    x = 212,387,761.27/13,380.98
  6. Step 6: Final answer
    x = 15,872.36

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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.