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Finding the Fourth Proportional to 27,462.42, 41,193.63 and 6,685.92

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Solution

The fourth proportional to 27,462.42, 41,193.63 and 6,685.92 is: 10,028.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,462.42 : 41,193.63 = 6,685.92 : x
  2. Step 2: Convert to fraction form
    27,462.42/41,193.63 = 6,685.92/x
  3. Step 3: Cross multiply
    27,462.42x = 41,193.63 × 6,685.92
  4. Step 4: Simplify right side
    27,462.42x = 275,417,314.69
  5. Step 5: Solve for x
    x = 275,417,314.69/27,462.42
  6. Step 6: Final answer
    x = 10,028.88

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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.