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Finding the Fourth Proportional to 18,285.24, 27,422.42 and 7,755.10

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Solution

The fourth proportional to 18,285.24, 27,422.42 and 7,755.10 is: 11,630.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,285.24 : 27,422.42 = 7,755.10 : x
  2. Step 2: Convert to fraction form
    18,285.24/27,422.42 = 7,755.10/x
  3. Step 3: Cross multiply
    18,285.24x = 27,422.42 × 7,755.10
  4. Step 4: Simplify right side
    18,285.24x = 212,663,609.34
  5. Step 5: Solve for x
    x = 212,663,609.34/18,285.24
  6. Step 6: Final answer
    x = 11,630.34

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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.