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Finding the Fourth Proportional to 27,294.68, 40,942.20 and 11,712.44

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Solution

The fourth proportional to 27,294.68, 40,942.20 and 11,712.44 is: 17,568.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,294.68 : 40,942.20 = 11,712.44 : x
  2. Step 2: Convert to fraction form
    27,294.68/40,942.20 = 11,712.44/x
  3. Step 3: Cross multiply
    27,294.68x = 40,942.20 × 11,712.44
  4. Step 4: Simplify right side
    27,294.68x = 479,533,060.97
  5. Step 5: Solve for x
    x = 479,533,060.97/27,294.68
  6. Step 6: Final answer
    x = 17,568.74

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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.