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Finding the Fourth Proportional to 13,753, 18,961.42 and 11,232.44

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Solution

The fourth proportional to 13,753, 18,961.42 and 11,232.44 is: 15,486.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,753 : 18,961.42 = 11,232.44 : x
  2. Step 2: Convert to fraction form
    13,753/18,961.42 = 11,232.44/x
  3. Step 3: Cross multiply
    13,753x = 18,961.42 × 11,232.44
  4. Step 4: Simplify right side
    13,753x = 212,983,012.46
  5. Step 5: Solve for x
    x = 212,983,012.46/13,753
  6. Step 6: Final answer
    x = 15,486.29

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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.