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Finding the Fourth Proportional to 18,207.24, 27,311 and 5,726.96

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Solution

The fourth proportional to 18,207.24, 27,311 and 5,726.96 is: 8,590.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,207.24 : 27,311 = 5,726.96 : x
  2. Step 2: Convert to fraction form
    18,207.24/27,311 = 5,726.96/x
  3. Step 3: Cross multiply
    18,207.24x = 27,311 × 5,726.96
  4. Step 4: Simplify right side
    18,207.24x = 156,409,004.56
  5. Step 5: Solve for x
    x = 156,409,004.56/18,207.24
  6. Step 6: Final answer
    x = 8,590.48

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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.