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Finding the Fourth Proportional to 27,120.54, 40,684.77 and 8,402.25

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Solution

The fourth proportional to 27,120.54, 40,684.77 and 8,402.25 is: 12,604.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,120.54 : 40,684.77 = 8,402.25 : x
  2. Step 2: Convert to fraction form
    27,120.54/40,684.77 = 8,402.25/x
  3. Step 3: Cross multiply
    27,120.54x = 40,684.77 × 8,402.25
  4. Step 4: Simplify right side
    27,120.54x = 341,843,608.73
  5. Step 5: Solve for x
    x = 341,843,608.73/27,120.54
  6. Step 6: Final answer
    x = 12,604.60

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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.