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Finding the Fourth Proportional to 18,387.57, 27,577.82 and 7,142.90

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Solution

The fourth proportional to 18,387.57, 27,577.82 and 7,142.90 is: 10,712.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,387.57 : 27,577.82 = 7,142.90 : x
  2. Step 2: Convert to fraction form
    18,387.57/27,577.82 = 7,142.90/x
  3. Step 3: Cross multiply
    18,387.57x = 27,577.82 × 7,142.90
  4. Step 4: Simplify right side
    18,387.57x = 196,985,436.87
  5. Step 5: Solve for x
    x = 196,985,436.87/18,387.57
  6. Step 6: Final answer
    x = 10,712.97

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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.