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Finding the Fourth Proportional to 27,660.40, 41,462.25 and 10,997.89

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Solution

The fourth proportional to 27,660.40, 41,462.25 and 10,997.89 is: 16,485.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,660.40 : 41,462.25 = 10,997.89 : x
  2. Step 2: Convert to fraction form
    27,660.40/41,462.25 = 10,997.89/x
  3. Step 3: Cross multiply
    27,660.40x = 41,462.25 × 10,997.89
  4. Step 4: Simplify right side
    27,660.40x = 455,997,264.65
  5. Step 5: Solve for x
    x = 455,997,264.65/27,660.40
  6. Step 6: Final answer
    x = 16,485.56

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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.