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Finding the Fourth Proportional to 27,027.86, 40,525.23 and 9,499.70

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Solution

The fourth proportional to 27,027.86, 40,525.23 and 9,499.70 is: 14,243.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,027.86 : 40,525.23 = 9,499.70 : x
  2. Step 2: Convert to fraction form
    27,027.86/40,525.23 = 9,499.70/x
  3. Step 3: Cross multiply
    27,027.86x = 40,525.23 × 9,499.70
  4. Step 4: Simplify right side
    27,027.86x = 384,977,527.43
  5. Step 5: Solve for x
    x = 384,977,527.43/27,027.86
  6. Step 6: Final answer
    x = 14,243.73

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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.