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Finding the Fourth Proportional to 27,794.96, 41,712.60 and 16,096.40

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Solution

The fourth proportional to 27,794.96, 41,712.60 and 16,096.40 is: 24,156.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,794.96 : 41,712.60 = 16,096.40 : x
  2. Step 2: Convert to fraction form
    27,794.96/41,712.60 = 16,096.40/x
  3. Step 3: Cross multiply
    27,794.96x = 41,712.60 × 16,096.40
  4. Step 4: Simplify right side
    27,794.96x = 671,422,694.64
  5. Step 5: Solve for x
    x = 671,422,694.64/27,794.96
  6. Step 6: Final answer
    x = 24,156.27

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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.