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Finding the Fourth Proportional to 18,381, 27,546.64 and 13,175.40

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Solution

The fourth proportional to 18,381, 27,546.64 and 13,175.40 is: 19,745.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,381 : 27,546.64 = 13,175.40 : x
  2. Step 2: Convert to fraction form
    18,381/27,546.64 = 13,175.40/x
  3. Step 3: Cross multiply
    18,381x = 27,546.64 × 13,175.40
  4. Step 4: Simplify right side
    18,381x = 362,938,000.66
  5. Step 5: Solve for x
    x = 362,938,000.66/18,381
  6. Step 6: Final answer
    x = 19,745.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.