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Finding the Fourth Proportional to 27,243.48, 40,855.37 and 9,709.82

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Solution

The fourth proportional to 27,243.48, 40,855.37 and 9,709.82 is: 14,561.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,243.48 : 40,855.37 = 9,709.82 : x
  2. Step 2: Convert to fraction form
    27,243.48/40,855.37 = 9,709.82/x
  3. Step 3: Cross multiply
    27,243.48x = 40,855.37 × 9,709.82
  4. Step 4: Simplify right side
    27,243.48x = 396,698,035.91
  5. Step 5: Solve for x
    x = 396,698,035.91/27,243.48
  6. Step 6: Final answer
    x = 14,561.21

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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.