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Finding the Fourth Proportional to 27,231.84, 40,823.04 and 9,697.56

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Solution

The fourth proportional to 27,231.84, 40,823.04 and 9,697.56 is: 14,537.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,231.84 : 40,823.04 = 9,697.56 : x
  2. Step 2: Convert to fraction form
    27,231.84/40,823.04 = 9,697.56/x
  3. Step 3: Cross multiply
    27,231.84x = 40,823.04 × 9,697.56
  4. Step 4: Simplify right side
    27,231.84x = 395,883,879.78
  5. Step 5: Solve for x
    x = 395,883,879.78/27,231.84
  6. Step 6: Final answer
    x = 14,537.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.