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Finding the Fourth Proportional to 27,494.28, 41,244.06 and 7,773.48

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Solution

The fourth proportional to 27,494.28, 41,244.06 and 7,773.48 is: 11,660.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,494.28 : 41,244.06 = 7,773.48 : x
  2. Step 2: Convert to fraction form
    27,494.28/41,244.06 = 7,773.48/x
  3. Step 3: Cross multiply
    27,494.28x = 41,244.06 × 7,773.48
  4. Step 4: Simplify right side
    27,494.28x = 320,609,875.53
  5. Step 5: Solve for x
    x = 320,609,875.53/27,494.28
  6. Step 6: Final answer
    x = 11,660.97

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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.